72762138 has 20 divisors (see below), whose sum is σ = 163041450. Its totient is φ = 24253992.

The previous prime is 72762089. The next prime is 72762197. The reversal of 72762138 is 83126727.

72762138 is a `hidden beast` number, since 7 + 27 + 621 + 3 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55398249 + 17363889 = 7443^2 + 4167^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 9 ways as a sum of consecutive naturals, for example, 224413 + ... + 224736.

Almost surely, 2^72762138 is an apocalyptic number.

72762138 is an abundant number, since it is smaller than the sum of its proper divisors (90279312).

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

72762138 is a wasteful number, since it uses less digits than its factorization.

72762138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449163 (or 449154 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 72762138 is about 8530.0725671005. The cubic root of 72762138 is about 417.4794960468.

It can be divided in two parts, 72762 and 138, that added together give a square (72900 = 270²).

The spelling of 72762138 in words is "seventy-two million, seven hundred sixty-two thousand, one hundred thirty-eight".