72801632 has 24 divisors (see below), whose sum is σ = 143523576. Its totient is φ = 36351232.

The previous prime is 72801613. The next prime is 72801643. The reversal of 72801632 is 23610827.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72801595 and 72801604.

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 3 ways as a sum of consecutive naturals, for example, 37223 + ... + 39129.

It is an arithmetic number, because the mean of its divisors is an integer number (5980149).

Almost surely, 2^72801632 is an apocalyptic number.

It is an amenable number.

72801632 is a deficient number, since it is larger than the sum of its proper divisors (70721944).

72801632 is a wasteful number, since it uses less digits than its factorization.

72801632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 72801632 is about 8532.3872392197. The cubic root of 72801632 is about 417.5550158774. Note that the first 3 decimals are identical.

The spelling of 72801632 in words is "seventy-two million, eight hundred one thousand, six hundred thirty-two".