72526792 has 16 divisors (see below), whose sum is σ = 146448540. Its totient is φ = 33473856.

The previous prime is 72526789. The next prime is 72526799. The reversal of 72526792 is 29762527.

It can be written as a sum of positive squares in 2 ways, for example, as 70660836 + 1865956 = 8406^2 + 1366^2 .

It is a super-2 number, since 2×72526792² = 10520271115622528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72526799) 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, 348583 + ... + 348790.

Almost surely, 2^72526792 is an apocalyptic number.

It is an amenable number.

72526792 is an abundant number, since it is smaller than the sum of its proper divisors (73921748).

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

72526792 is a wasteful number, since it uses less digits than its factorization.

72526792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697392 (or 697388 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 72526792 is about 8516.2663180528. The cubic root of 72526792 is about 417.0289034094.

The spelling of 72526792 in words is "seventy-two million, five hundred twenty-six thousand, seven hundred ninety-two".