72161056 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 29798400.

The previous prime is 72161053. The next prime is 72161057. The reversal of 72161056 is 65016127.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72161053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185310 + ... + 185698.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^72161056 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 72161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

72161056 is an abundant number, since it is smaller than the sum of its proper divisors (97666784).

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

72161056 is a wasteful number, since it uses less digits than its factorization.

72161056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 72161056 is about 8494.7663887832. The cubic root of 72161056 is about 416.3267280333.

Subtracting from 72161056 its reverse (65016127), we obtain a square (7144929 = 2673²).

The spelling of 72161056 in words is "seventy-two million, one hundred sixty-one thousand, fifty-six".