72163328 has 56 divisors (see below), whose sum is σ = 150985728. Its totient is φ = 34422784.

The previous prime is 72163309. The next prime is 72163361. The reversal of 72163328 is 82336127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (12096) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 72163294 and 72163303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188225 + ... + 188607.

Almost surely, 2^72163328 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 72163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75492864).

72163328 is an abundant number, since it is smaller than the sum of its proper divisors (78822400).

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

72163328 is an equidigital number, since it uses as much as digits as its factorization.

72163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 72163328 is about 8494.9001171291. The cubic root of 72163328 is about 416.3310973541.

The spelling of 72163328 in words is "seventy-two million, one hundred sixty-three thousand, three hundred twenty-eight".