725756123136 has 384 divisors, whose sum is σ = 2149737408000. Its totient is φ = 215907041280.

The previous prime is 725756123123. The next prime is 725756123179. The reversal of 725756123136 is 631321657527.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976791181 + ... + 976791923.

It is an arithmetic number, because the mean of its divisors is an integer number (5598274500).

Almost surely, 2^725756123136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725756123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074868704000).

725756123136 is an abundant number, since it is smaller than the sum of its proper divisors (1423981284864).

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

725756123136 is a wasteful number, since it uses less digits than its factorization.

725756123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1005 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The spelling of 725756123136 in words is "seven hundred twenty-five billion, seven hundred fifty-six million, one hundred twenty-three thousand, one hundred thirty-six".