72874008 has 48 divisors (see below), whose sum is σ = 197800200. Its totient is φ = 24238080.

The previous prime is 72874003. The next prime is 72874033. The reversal of 72874008 is 80047827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72874003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45363 + ... + 46941.

Almost surely, 2^72874008 is an apocalyptic number.

It is an amenable number.

72874008 is an abundant number, since it is smaller than the sum of its proper divisors (124926192).

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

72874008 is a wasteful number, since it uses less digits than its factorization.

72874008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 72874008 is about 8536.6274371089. The cubic root of 72874008 is about 417.6933413140.

The spelling of 72874008 in words is "seventy-two million, eight hundred seventy-four thousand, eight".