12304728072 has 384 divisors, whose sum is σ = 43819776000. Its totient is φ = 3030773760.

The previous prime is 12304728053. The next prime is 12304728097. The reversal of 12304728072 is 27082740321.

12304728072 is a `hidden beast` number, since 1 + 2 + 304 + 7 + 280 + 72 = 666.

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

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, 5889204 + ... + 5891292.

It is an arithmetic number, because the mean of its divisors is an integer number (114114000).

Almost surely, 2^12304728072 is an apocalyptic number.

12304728072 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 12304728072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888000).

12304728072 is an abundant number, since it is smaller than the sum of its proper divisors (31515047928).

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

12304728072 is a wasteful number, since it uses less digits than its factorization.

12304728072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12304728072 in words is "twelve billion, three hundred four million, seven hundred twenty-eight thousand, seventy-two".