72656037 has 12 divisors (see below), whose sum is σ = 105086124. Its totient is φ = 48373440.

The previous prime is 72656029. The next prime is 72656039. The reversal of 72656037 is 73065627.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28579716 + 44076321 = 5346^2 + 6639^2 .

It is not a de Polignac number, because 72656037 - 2³ = 72656029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72655992 and 72656010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72656039) 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 11 ways as a sum of consecutive naturals, for example, 2473 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (8757177).

Almost surely, 2^72656037 is an apocalyptic number.

It is an amenable number.

72656037 is a deficient number, since it is larger than the sum of its proper divisors (32430087).

72656037 is a wasteful number, since it uses less digits than its factorization.

72656037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10657 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 72656037 is about 8523.8510662728. The cubic root of 72656037 is about 417.2764759009.

The spelling of 72656037 in words is "seventy-two million, six hundred fifty-six thousand, thirty-seven".