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72473142 = 23717101503
BaseRepresentation
bin1000101000111…
…01101000110110
312001101000110110
410110131220312
5122023120032
611105203450
71540003650
oct424355066
9161330413
1072473142
1137a00165
1220330586
1312026421
1498a76d0
1565687cc
hex451da36

72473142 has 32 divisors (see below), whose sum is σ = 175398912. Its totient is φ = 19488384.

The previous prime is 72473083. The next prime is 72473143. The reversal of 72473142 is 24137427.

It is a super-2 number, since 2×724731422 = 10504712622704328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72473143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50038 + ... + 51465.

It is an arithmetic number, because the mean of its divisors is an integer number (5481216).

Almost surely, 272473142 is an apocalyptic number.

72473142 is an abundant number, since it is smaller than the sum of its proper divisors (102925770).

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

72473142 is a wasteful number, since it uses less digits than its factorization.

72473142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101532.

The product of its digits is 9408, while the sum is 30.

The square root of 72473142 is about 8513.1158808042. The cubic root of 72473142 is about 416.9260489143.

The spelling of 72473142 in words is "seventy-two million, four hundred seventy-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 101503 203006 304509 609018 710521 1421042 1725551 2131563 3451102 4263126 5176653 10353306 12078857 24157714 36236571 72473142