Search a number
-
+
72378675 = 3252437481
BaseRepresentation
bin1000101000001…
…10100100110011
312001012012212200
410110012210303
5122012104200
611103154243
71536131355
oct424064463
9161165780
1072378675
1137946196
12202a5983
1311cc2425
1498810d5
15654a800
hex4506933

72378675 has 36 divisors (see below), whose sum is σ = 132670824. Its totient is φ = 37699200.

The previous prime is 72378671. The next prime is 72378689. The reversal of 72378675 is 57687327.

It is not a de Polignac number, because 72378675 - 22 = 72378671 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72378675.

It is not an unprimeable number, because it can be changed into a prime (72378671) 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 35 ways as a sum of consecutive naturals, for example, 5935 + ... + 13415.

Almost surely, 272378675 is an apocalyptic number.

72378675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72378675 is a deficient number, since it is larger than the sum of its proper divisors (60292149).

72378675 is a wasteful number, since it uses less digits than its factorization.

72378675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540 (or 7532 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 72378675 is about 8507.5657505540. The cubic root of 72378675 is about 416.7448191181.

The spelling of 72378675 in words is "seventy-two million, three hundred seventy-eight thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1075 1935 3225 7481 9675 22443 37405 67329 112215 187025 321683 336645 561075 965049 1608415 1683225 2895147 4825245 8042075 14475735 24126225 72378675