72166600 has 48 divisors (see below), whose sum is σ = 183046320. Its totient is φ = 26241600.

The previous prime is 72166597. The next prime is 72166603. The reversal of 72166600 is 666127.

It is an interprime number because it is at equal distance from previous prime (72166597) and next prime (72166603).

It is not an unprimeable number, because it can be changed into a prime (72166603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14202 + ... + 18601.

It is an arithmetic number, because the mean of its divisors is an integer number (3813465).

Almost surely, 2^72166600 is an apocalyptic number.

It is an amenable number.

72166600 is an abundant number, since it is smaller than the sum of its proper divisors (110879720).

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

72166600 is a wasteful number, since it uses less digits than its factorization.

72166600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32830 (or 32821 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 72166600 is about 8495.0927010834. The cubic root of 72166600 is about 416.3373896302.

The spelling of 72166600 in words is "seventy-two million, one hundred sixty-six thousand, six hundred".