39972900 has 72 divisors (see below), whose sum is σ = 126179424. Its totient is φ = 9689600.

The previous prime is 39972893. The next prime is 39972923. The reversal of 39972900 is 927993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757 + ... + 9356.

It is an arithmetic number, because the mean of its divisors is an integer number (1752492).

Almost surely, 2^39972900 is an apocalyptic number.

39972900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39972900 is an abundant number, since it is smaller than the sum of its proper divisors (86206524).

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

39972900 is a wasteful number, since it uses less digits than its factorization.

39972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 39972900 is about 6322.4125142227. The cubic root of 39972900 is about 341.9179379732.

The spelling of 39972900 in words is "thirty-nine million, nine hundred seventy-two thousand, nine hundred".