72177738 has 16 divisors (see below), whose sum is σ = 144746976. Its totient is φ = 23994000.

The previous prime is 72177719. The next prime is 72177757. The reversal of 72177738 is 83777127.

It is an interprime number because it is at equal distance from previous prime (72177719) and next prime (72177757).

It is a self number, because there is not a number n which added to its sum of digits gives 72177738.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13888 + ... + 18363.

It is an arithmetic number, because the mean of its divisors is an integer number (9046686).

Almost surely, 2^72177738 is an apocalyptic number.

72177738 is an abundant number, since it is smaller than the sum of its proper divisors (72569238).

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

72177738 is a wasteful number, since it uses less digits than its factorization.

72177738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32629.

The product of its digits is 115248, while the sum is 42.

The square root of 72177738 is about 8495.7482307328. The cubic root of 72177738 is about 416.3588073281.

The spelling of 72177738 in words is "seventy-two million, one hundred seventy-seven thousand, seven hundred thirty-eight".