72427512560 has 80 divisors (see below), whose sum is σ = 182433698496. Its totient is φ = 26582267904.

The previous prime is 72427512527. The next prime is 72427512569. The reversal of 72427512560 is 6521572427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72427512569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34829 + ... + 382188.

Almost surely, 2^72427512560 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 72427512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91216849248).

72427512560 is an abundant number, since it is smaller than the sum of its proper divisors (110006185936).

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

72427512560 is a wasteful number, since it uses less digits than its factorization.

72427512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417210 (or 417204 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 72427512560 in words is "seventy-two billion, four hundred twenty-seven million, five hundred twelve thousand, five hundred sixty".