72430212960 has 576 divisors, whose sum is σ = 300131080704. Its totient is φ = 16149196800.

The previous prime is 72430212947. The next prime is 72430212977. The reversal of 72430212960 is 6921203427.

72430212960 is a `hidden beast` number, since 7 + 2 + 430 + 212 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×72430212960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11155315 + ... + 11161805.

It is an arithmetic number, because the mean of its divisors is an integer number (521060904).

Almost surely, 2^72430212960 is an apocalyptic number.

72430212960 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 72430212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150065540352).

72430212960 is an abundant number, since it is smaller than the sum of its proper divisors (227700867744).

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

72430212960 is a wasteful number, since it uses less digits than its factorization.

72430212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 72430 and 212960, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 72430212960 in words is "seventy-two billion, four hundred thirty million, two hundred twelve thousand, nine hundred sixty".