72808772 has 12 divisors (see below), whose sum is σ = 127963836. Its totient is φ = 36247680.

The previous prime is 72808753. The next prime is 72808829. The reversal of 72808772 is 27780827.

It can be written as a sum of positive squares in 2 ways, for example, as 26894596 + 45914176 = 5186^2 + 6776^2 .

It is a super-2 number, since 2×72808772² = 10602234560295968, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 38129 + ... + 39992.

It is an arithmetic number, because the mean of its divisors is an integer number (10663653).

Almost surely, 2^72808772 is an apocalyptic number.

It is an amenable number.

72808772 is a deficient number, since it is larger than the sum of its proper divisors (55155064).

72808772 is a wasteful number, since it uses less digits than its factorization.

72808772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78358 (or 78356 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 72808772 is about 8532.8056347253. The cubic root of 72808772 is about 417.5686659622.

The spelling of 72808772 in words is "seventy-two million, eight hundred eight thousand, seven hundred seventy-two".