32472720 has 240 divisors, whose sum is σ = 132312960. Its totient is φ = 6967296.

The previous prime is 32472719. The next prime is 32472733. The reversal of 32472720 is 2727423.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85491 + ... + 85869.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 2^32472720 is an apocalyptic number.

32472720 is a gapful number since it is divisible by the number (30) 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 32472720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66156480).

32472720 is an abundant number, since it is smaller than the sum of its proper divisors (99840240).

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

32472720 is a wasteful number, since it uses less digits than its factorization.

32472720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 32472720 is about 5698.4840089273. The cubic root of 32472720 is about 319.0359003500.

The spelling of 32472720 in words is "thirty-two million, four hundred seventy-two thousand, seven hundred twenty".