72692676 has 135 divisors (see below), whose sum is σ = 222010061. Its totient is φ = 20053152.

The previous prime is 72692671. The next prime is 72692681. The reversal of 72692676 is 67629627.

The square root of 72692676 is 8526.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (72692671) and next prime (72692681).

It can be written as a sum of positive squares in only one way, i.e., 38118276 + 34574400 = 6174^2 + 5880^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (381024) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (72692671) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2506630 + ... + 2506658.

Almost surely, 2^72692676 is an apocalyptic number.

72692676 is the 8526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72692676

72692676 is an abundant number, since it is smaller than the sum of its proper divisors (149317385).

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

72692676 is a wasteful number, since it uses less digits than its factorization.

72692676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The cubic root of 72692676 is about 417.3466055338.

The spelling of 72692676 in words is "seventy-two million, six hundred ninety-two thousand, six hundred seventy-six".