72531460680 has 256 divisors, whose sum is σ = 250475673600. Its totient is φ = 16459407360.

The previous prime is 72531460667. The next prime is 72531460691. The reversal of 72531460680 is 8606413527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98147751 + ... + 98148489.

It is an arithmetic number, because the mean of its divisors is an integer number (978420600).

Almost surely, 2^72531460680 is an apocalyptic number.

72531460680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72531460680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125237836800).

72531460680 is an abundant number, since it is smaller than the sum of its proper divisors (177944212920).

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

72531460680 is a wasteful number, since it uses less digits than its factorization.

72531460680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 72531460680 in words is "seventy-two billion, five hundred thirty-one million, four hundred sixty thousand, six hundred eighty".