12573792 has 252 divisors, whose sum is σ = 47099556. Its totient is φ = 3265920.

The previous prime is 12573779. The next prime is 12573809. The reversal of 12573792 is 29737521.

12573792 is a `hidden beast` number, since 12 + 573 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1143067 + ... + 1143077.

It is an arithmetic number, because the mean of its divisors is an integer number (186903).

Almost surely, 2^12573792 is an apocalyptic number.

12573792 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 12573792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549778).

12573792 is an abundant number, since it is smaller than the sum of its proper divisors (34525764).

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

12573792 is an equidigital number, since it uses as much as digits as its factorization.

12573792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 12573792 is about 3545.9543144265. The cubic root of 12573792 is about 232.5352287929.

The spelling of 12573792 in words is "twelve million, five hundred seventy-three thousand, seven hundred ninety-two".