72356032 has 56 divisors (see below), whose sum is σ = 164913056. Its totient is φ = 30855168.

The previous prime is 72355991. The next prime is 72356051. The reversal of 72356032 is 23065327.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 166888 + ... + 167320.

It is an arithmetic number, because the mean of its divisors is an integer number (2944876).

Almost surely, 2^72356032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82456528).

72356032 is an abundant number, since it is smaller than the sum of its proper divisors (92557024).

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

72356032 is a wasteful number, since it uses less digits than its factorization.

72356032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 72356032 is about 8506.2348897735. The cubic root of 72356032 is about 416.7013563296.

The spelling of 72356032 in words is "seventy-two million, three hundred fifty-six thousand, thirty-two".