72577540 has 24 divisors (see below), whose sum is σ = 174186432. Its totient is φ = 24883680.

The previous prime is 72577529. The next prime is 72577559. The reversal of 72577540 is 4577527.

It is a self number, because there is not a number n which added to its sum of digits gives 72577540.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259066 + ... + 259345.

It is an arithmetic number, because the mean of its divisors is an integer number (7257768).

Almost surely, 2^72577540 is an apocalyptic number.

72577540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72577540 is an abundant number, since it is smaller than the sum of its proper divisors (101608892).

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

72577540 is a wasteful number, since it uses less digits than its factorization.

72577540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518427 (or 518425 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 72577540 is about 8519.2452717362. The cubic root of 72577540 is about 417.1261476968.

The spelling of 72577540 in words is "seventy-two million, five hundred seventy-seven thousand, five hundred forty".