725654160 has 320 divisors, whose sum is σ = 3116943360. Its totient is φ = 150750720.

The previous prime is 725654141. The next prime is 725654177. The reversal of 725654160 is 61456527.

It is a happy number.

725654160 is a `hidden beast` number, since 7 + 2 + 56 + 541 + 60 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164139 + ... + 168501.

It is an arithmetic number, because the mean of its divisors is an integer number (9740448).

Almost surely, 2^725654160 is an apocalyptic number.

725654160 is a gapful number since it is divisible by the number (70) 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 725654160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558471680).

725654160 is an abundant number, since it is smaller than the sum of its proper divisors (2391289200).

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

725654160 is a wasteful number, since it uses less digits than its factorization.

725654160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 725654160 is about 26937.9687430214. The cubic root of 725654160 is about 898.6209992535.

It can be divided in two parts, 7256 and 54160, that added together give a palindrome (61416).

The spelling of 725654160 in words is "seven hundred twenty-five million, six hundred fifty-four thousand, one hundred sixty".