72166956 has 36 divisors (see below), whose sum is σ = 170937816. Its totient is φ = 23696960.

The previous prime is 72166951. The next prime is 72166979. The reversal of 72166956 is 65966127.

It is not an unprimeable number, because it can be changed into a prime (72166951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59896 + ... + 61088.

Almost surely, 2^72166956 is an apocalyptic number.

It is an amenable number.

72166956 is an abundant number, since it is smaller than the sum of its proper divisors (98770860).

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

72166956 is a wasteful number, since it uses less digits than its factorization.

72166956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1269 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 72166956 is about 8495.1136543309. The cubic root of 72166956 is about 416.3380742307.

The spelling of 72166956 in words is "seventy-two million, one hundred sixty-six thousand, nine hundred fifty-six".