72166320 has 120 divisors (see below), whose sum is σ = 244778976. Its totient is φ = 19052544.

The previous prime is 72166319. The next prime is 72166331. The reversal of 72166320 is 2366127.

It is a happy number.

72166320 is a `hidden beast` number, since 7 + 21 + 6 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80917 + ... + 81803.

Almost surely, 2^72166320 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 72166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122389488).

72166320 is an abundant number, since it is smaller than the sum of its proper divisors (172612656).

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

72166320 is a wasteful number, since it uses less digits than its factorization.

72166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72166320 is about 8495.0762209647. The cubic root of 72166320 is about 416.3368511788.

The spelling of 72166320 in words is "seventy-two million, one hundred sixty-six thousand, three hundred twenty".