72801008 has 40 divisors (see below), whose sum is σ = 169691520. Its totient is φ = 29557440.

The previous prime is 72801007. The next prime is 72801013. The reversal of 72801008 is 80010827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14978 + ... + 19233.

It is an arithmetic number, because the mean of its divisors is an integer number (4242288).

Almost surely, 2^72801008 is an apocalyptic number.

It is an amenable number.

72801008 is an abundant number, since it is smaller than the sum of its proper divisors (96890512).

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

72801008 is a wasteful number, since it uses less digits than its factorization.

72801008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34245 (or 34239 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 72801008 is about 8532.3506725872. The cubic root of 72801008 is about 417.5538228864.

The spelling of 72801008 in words is "seventy-two million, eight hundred one thousand, eight".