72746164 has 12 divisors (see below), whose sum is σ = 128474500. Its totient is φ = 36039168.

The previous prime is 72746161. The next prime is 72746189. The reversal of 72746164 is 46164727.

It can be written as a sum of positive squares in 2 ways, for example, as 36505764 + 36240400 = 6042^2 + 6020^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72746161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82989 + ... + 83860.

Almost surely, 2^72746164 is an apocalyptic number.

It is an amenable number.

72746164 is a deficient number, since it is larger than the sum of its proper divisors (55728336).

72746164 is a wasteful number, since it uses less digits than its factorization.

72746164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166962 (or 166960 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 72746164 is about 8529.1361813492. The cubic root of 72746164 is about 417.4489430434.

The spelling of 72746164 in words is "seventy-two million, seven hundred forty-six thousand, one hundred sixty-four".