72602964 has 72 divisors (see below), whose sum is σ = 214888128. Its totient is φ = 20234880.

The previous prime is 72602947. The next prime is 72602983. The reversal of 72602964 is 46920627.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6819 + ... + 13845.

Almost surely, 2^72602964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72602964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107444064).

72602964 is an abundant number, since it is smaller than the sum of its proper divisors (142285164).

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

72602964 is a wasteful number, since it uses less digits than its factorization.

72602964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72602964 is about 8520.7372920423. The cubic root of 72602964 is about 417.1748486085.

The spelling of 72602964 in words is "seventy-two million, six hundred two thousand, nine hundred sixty-four".