72572560 has 40 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 28659072.

The previous prime is 72572557. The next prime is 72572561. The reversal of 72572560 is 6527527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72572561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (4272048).

Almost surely, 2^72572560 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 72572560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

72572560 is an abundant number, since it is smaller than the sum of its proper divisors (98309360).

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

72572560 is a wasteful number, since it uses less digits than its factorization.

72572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 72572560 is about 8518.9529873101. The cubic root of 72572560 is about 417.1166069319.

The spelling of 72572560 in words is "seventy-two million, five hundred seventy-two thousand, five hundred sixty".