72166010 has 32 divisors (see below), whose sum is σ = 150256512. Its totient is φ = 24442560.

The previous prime is 72165991. The next prime is 72166051. The reversal of 72166010 is 1066127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (4695516).

Almost surely, 2^72166010 is an apocalyptic number.

72166010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72166010 is an abundant number, since it is smaller than the sum of its proper divisors (78090502).

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

72166010 is a wasteful number, since it uses less digits than its factorization.

72166010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 72166010 is about 8495.0579750817. The cubic root of 72166010 is about 416.3362550346.

The spelling of 72166010 in words is "seventy-two million, one hundred sixty-six thousand, ten".