39825972 has 48 divisors (see below), whose sum is σ = 107748480. Its totient is φ = 12697344.

The previous prime is 39825941. The next prime is 39825977. The reversal of 39825972 is 27952893.

39825972 is a `hidden beast` number, since 398 + 259 + 7 + 2 = 666.

It is a super-2 number, since 2×39825972² = 3172216091489568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39825977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5533 + ... + 10500.

It is an arithmetic number, because the mean of its divisors is an integer number (2244760).

Almost surely, 2^39825972 is an apocalyptic number.

It is an amenable number.

39825972 is an abundant number, since it is smaller than the sum of its proper divisors (67922508).

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

39825972 is a wasteful number, since it uses less digits than its factorization.

39825972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16069 (or 16061 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 39825972 is about 6310.7822019144. The cubic root of 39825972 is about 341.4984954920.

The spelling of 39825972 in words is "thirty-nine million, eight hundred twenty-five thousand, nine hundred seventy-two".