15006573972 has 192 divisors, whose sum is σ = 43998393600. Its totient is φ = 4390848000.

The previous prime is 15006573971. The next prime is 15006574003. The reversal of 15006573972 is 27937560051.

15006573972 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 6 + 573 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15006573971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2725222 + ... + 2730722.

It is an arithmetic number, because the mean of its divisors is an integer number (229158300).

Almost surely, 2^15006573972 is an apocalyptic number.

15006573972 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 15006573972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999196800).

15006573972 is an abundant number, since it is smaller than the sum of its proper divisors (28991819628).

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

15006573972 is a wasteful number, since it uses less digits than its factorization.

15006573972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 15006573972 in words is "fifteen billion, six million, five hundred seventy-three thousand, nine hundred seventy-two".