15079876272 has 120 divisors (see below), whose sum is σ = 43872192000. Its totient is φ = 5014405440.

The previous prime is 15079876223. The next prime is 15079876277. The reversal of 15079876272 is 27267897051.

It is a happy number.

15079876272 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 9 + 8 + 7 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (15079876277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671229 + ... + 1680227.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 2^15079876272 is an apocalyptic number.

15079876272 is a gapful number since it is divisible by the number (12) 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 15079876272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

15079876272 is an abundant number, since it is smaller than the sum of its proper divisors (28792315728).

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

15079876272 is an equidigital number, since it uses as much as digits as its factorization.

15079876272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 15079876272 in words is "fifteen billion, seventy-nine million, eight hundred seventy-six thousand, two hundred seventy-two".