72037656 has 96 divisors (see below), whose sum is σ = 208746720. Its totient is φ = 22387200.

The previous prime is 72037649. The next prime is 72037661. The reversal of 72037656 is 65673027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72037656.

It is a congruent number.

It is an unprimeable number.

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, 67366 + ... + 68426.

It is an arithmetic number, because the mean of its divisors is an integer number (2174445).

Almost surely, 2^72037656 is an apocalyptic number.

It is a pronic number, being equal to 8487×8488.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72037656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104373360).

72037656 is an abundant number, since it is smaller than the sum of its proper divisors (136709064).

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

72037656 is a wasteful number, since it uses less digits than its factorization.

72037656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1130 counting only the distinct ones).

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

The square root of 72037656 is about 8487.4999852725. The cubic root of 72037656 is about 416.0892775597.

The spelling of 72037656 in words is "seventy-two million, thirty-seven thousand, six hundred fifty-six".