32479072 has 48 divisors (see below), whose sum is σ = 68342400. Its totient is φ = 15160320.

The previous prime is 32479067. The next prime is 32479091. The reversal of 32479072 is 27097423.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28204 + ... + 29332.

It is an arithmetic number, because the mean of its divisors is an integer number (1423800).

Almost surely, 2^32479072 is an apocalyptic number.

32479072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34171200).

32479072 is an abundant number, since it is smaller than the sum of its proper divisors (35863328).

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

32479072 is a wasteful number, since it uses less digits than its factorization.

32479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 32479072 is about 5699.0413228893. The cubic root of 32479072 is about 319.0567012347.

The spelling of 32479072 in words is "thirty-two million, four hundred seventy-nine thousand, seventy-two".