15045082272 has 144 divisors (see below), whose sum is σ = 46912817952. Its totient is φ = 4535784960.

The previous prime is 15045082259. The next prime is 15045082301. The reversal of 15045082272 is 27228054051.

It is a happy number.

15045082272 is a `hidden beast` number, since 1 + 504 + 5 + 0 + 82 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612043 + ... + 636149.

It is an arithmetic number, because the mean of its divisors is an integer number (325783458).

Almost surely, 2^15045082272 is an apocalyptic number.

15045082272 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 15045082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23456408976).

15045082272 is an abundant number, since it is smaller than the sum of its proper divisors (31867735680).

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

15045082272 is a wasteful number, since it uses less digits than its factorization.

15045082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24331 (or 24320 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 15045082272 in words is "fifteen billion, forty-five million, eighty-two thousand, two hundred seventy-two".