72808764 has 48 divisors (see below), whose sum is σ = 196358400. Its totient is φ = 20566656.

The previous prime is 72808753. The next prime is 72808829. The reversal of 72808764 is 46780827.

It is a super-2 number, since 2×72808764² = 10602232230415392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2607 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (4090800).

Almost surely, 2^72808764 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 72808764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98179200).

72808764 is an abundant number, since it is smaller than the sum of its proper divisors (123549636).

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

72808764 is a wasteful number, since it uses less digits than its factorization.

72808764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72808764 is about 8532.8051659463. The cubic root of 72808764 is about 417.5686506685.

The spelling of 72808764 in words is "seventy-two million, eight hundred eight thousand, seven hundred sixty-four".