32413872 has 40 divisors (see below), whose sum is σ = 84016944. Its totient is φ = 10768384.

The previous prime is 32413853. The next prime is 32413921. The reversal of 32413872 is 27831423.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 15988 + ... + 17900.

Almost surely, 2^32413872 is an apocalyptic number.

It is an amenable number.

32413872 is an abundant number, since it is smaller than the sum of its proper divisors (51603072).

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

32413872 is a wasteful number, since it uses less digits than its factorization.

32413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 32413872 is about 5693.3181888948. The cubic root of 32413872 is about 318.8430617930.

It can be divided in two parts, 324 and 13872, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 32413872 in words is "thirty-two million, four hundred thirteen thousand, eight hundred seventy-two".