32442720 has 48 divisors (see below), whose sum is σ = 102196080. Its totient is φ = 8651264.

The previous prime is 32442713. The next prime is 32442757. The reversal of 32442720 is 2724423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33315 + ... + 34274.

It is an arithmetic number, because the mean of its divisors is an integer number (2129085).

Almost surely, 2^32442720 is an apocalyptic number.

32442720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32442720 is an abundant number, since it is smaller than the sum of its proper divisors (69753360).

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

32442720 is a wasteful number, since it uses less digits than its factorization.

32442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67607 (or 67599 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 32442720 is about 5695.8511216499. The cubic root of 32442720 is about 318.9376227193.

The spelling of 32442720 in words is "thirty-two million, four hundred forty-two thousand, seven hundred twenty".