72166074 has 8 divisors (see below), whose sum is σ = 144332160. Its totient is φ = 24055356.

The previous prime is 72166069. The next prime is 72166079. The reversal of 72166074 is 47066127.

It is an interprime number because it is at equal distance from previous prime (72166069) and next prime (72166079).

It is a sphenic number, since it is the product of 3 distinct primes.

72166074 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (72166079) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6013834 + ... + 6013845.

It is an arithmetic number, because the mean of its divisors is an integer number (18041520).

Almost surely, 2^72166074 is an apocalyptic number.

72166074 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72166074 is a wasteful number, since it uses less digits than its factorization.

72166074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12027684.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 72166074 is about 8495.0617419769. The cubic root of 72166074 is about 416.3363781097.

It can be divided in two parts, 721 and 66074, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 72166074 in words is "seventy-two million, one hundred sixty-six thousand, seventy-four".