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72894780 = 22325757853
BaseRepresentation
bin1000101100001…
…00100100111100
312002011102211200
410112010210330
5122130113110
611122215500
71543411140
oct426044474
9162142750
1072894780
1138168a22
12204b4590
131214330a
149977220
1565ed6c0
hex458493c

72894780 has 72 divisors (see below), whose sum is σ = 252706272. Its totient is φ = 16661376.

The previous prime is 72894779. The next prime is 72894781. The reversal of 72894780 is 8749827.

It is an interprime number because it is at equal distance from previous prime (72894779) and next prime (72894781).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72894781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27667 + ... + 30186.

Almost surely, 272894780 is an apocalyptic number.

72894780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72894780 is an abundant number, since it is smaller than the sum of its proper divisors (179811492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72894780 is a wasteful number, since it uses less digits than its factorization.

72894780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57875 (or 57870 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 72894780 is about 8537.8439901418. The cubic root of 72894780 is about 417.7330239667.

The spelling of 72894780 in words is "seventy-two million, eight hundred ninety-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 57853 115706 173559 231412 289265 347118 404971 520677 578530 694236 809942 867795 1041354 1157060 1214913 1619884 1735590 2024855 2082708 2429826 2603385 3471180 3644739 4049710 4859652 5206770 6074565 7289478 8099420 10413540 12149130 14578956 18223695 24298260 36447390 72894780