72764688 has 80 divisors (see below), whose sum is σ = 196812800. Its totient is φ = 23137920.

The previous prime is 72764687. The next prime is 72764717. The reversal of 72764688 is 88646727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (72764687) 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, 117243 + ... + 117861.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^72764688 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 72764688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98406400).

72764688 is an abundant number, since it is smaller than the sum of its proper divisors (124048112).

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

72764688 is a wasteful number, since it uses less digits than its factorization.

72764688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 72764688 is about 8530.2220369695. Note that the first 3 decimals coincide. The cubic root of 72764688 is about 417.4843729435.

The spelling of 72764688 in words is "seventy-two million, seven hundred sixty-four thousand, six hundred eighty-eight".