72166626 has 64 divisors (see below), whose sum is σ = 185621760. Its totient is φ = 20610288.

The previous prime is 72166603. The next prime is 72166637. The reversal of 72166626 is 62666127.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29440 + ... + 31796.

It is an arithmetic number, because the mean of its divisors is an integer number (2900340).

Almost surely, 2^72166626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72166626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92810880).

72166626 is an abundant number, since it is smaller than the sum of its proper divisors (113455134).

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

72166626 is an equidigital number, since it uses as much as digits as its factorization.

72166626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2369 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72166626 is about 8495.0942313785. The cubic root of 72166626 is about 416.3374396292.

The spelling of 72166626 in words is "seventy-two million, one hundred sixty-six thousand, six hundred twenty-six".