725657400 has 192 divisors, whose sum is σ = 2692015200. Its totient is φ = 178606080.

The previous prime is 725657399. The next prime is 725657437. The reversal of 725657400 is 4756527.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65032 + ... + 75368.

Almost surely, 2^725657400 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 725657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346007600).

725657400 is an abundant number, since it is smaller than the sum of its proper divisors (1966357800).

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

725657400 is a wasteful number, since it uses less digits than its factorization.

725657400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 725657400 is about 26938.0288811190. The cubic root of 725657400 is about 898.6223366802.

The spelling of 725657400 in words is "seven hundred twenty-five million, six hundred fifty-seven thousand, four hundred".