72165742 has 16 divisors (see below), whose sum is σ = 118944000. Its totient is φ = 32565240.

The previous prime is 72165713. The next prime is 72165757. The reversal of 72165742 is 24756127.

It is a junction number, because it is equal to n+sod(n) for n = 72165698 and 72165707.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8742 + ... + 14857.

It is an arithmetic number, because the mean of its divisors is an integer number (7434000).

Almost surely, 2^72165742 is an apocalyptic number.

72165742 is a deficient number, since it is larger than the sum of its proper divisors (46778258).

72165742 is a wasteful number, since it uses less digits than its factorization.

72165742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23751.

The product of its digits is 23520, while the sum is 34.

The square root of 72165742 is about 8495.0422011901. The cubic root of 72165742 is about 416.3357396569.

The spelling of 72165742 in words is "seventy-two million, one hundred sixty-five thousand, seven hundred forty-two".