72964692 has 48 divisors (see below), whose sum is σ = 191318400. Its totient is φ = 24045120.

The previous prime is 72964681. The next prime is 72964699. The reversal of 72964692 is 29646927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72964699) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5817 + ... + 13407.

It is an arithmetic number, because the mean of its divisors is an integer number (3985800).

Almost surely, 2^72964692 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 72964692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

72964692 is an abundant number, since it is smaller than the sum of its proper divisors (118353708).

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

72964692 is a wasteful number, since it uses less digits than its factorization.

72964692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7685 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 72964692 is about 8541.9372509987. The cubic root of 72964692 is about 417.8665279004.

The spelling of 72964692 in words is "seventy-two million, nine hundred sixty-four thousand, six hundred ninety-two".