72099124560 has 60 divisors (see below), whose sum is σ = 242132895732. Its totient is φ = 19226433024.

The previous prime is 72099124543. The next prime is 72099124567. The reversal of 72099124560 is 6542199027.

72099124560 is a `hidden beast` number, since 72 + 0 + 9 + 9 + 12 + 4 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28766873664 + 43332250896 = 169608^2 + 208164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72099124567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50068117 + ... + 50069556.

Almost surely, 2^72099124560 is an apocalyptic number.

It is an amenable number.

72099124560 is an abundant number, since it is smaller than the sum of its proper divisors (170033771172).

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

72099124560 is a wasteful number, since it uses less digits than its factorization.

72099124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100137692 (or 100137683 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72099124560 in words is "seventy-two billion, ninety-nine million, one hundred twenty-four thousand, five hundred sixty".