72526560 has 96 divisors (see below), whose sum is σ = 232297632. Its totient is φ = 19015680.

The previous prime is 72526543. The next prime is 72526579. The reversal of 72526560 is 6562527.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28042 + ... + 30518.

It is an arithmetic number, because the mean of its divisors is an integer number (2419767).

Almost surely, 2^72526560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116148816).

72526560 is an abundant number, since it is smaller than the sum of its proper divisors (159771072).

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

72526560 is a wasteful number, since it uses less digits than its factorization.

72526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 72526560 is about 8516.2526970493. The cubic root of 72526560 is about 417.0284587424.

The spelling of 72526560 in words is "seventy-two million, five hundred twenty-six thousand, five hundred sixty".