725117184 has 405 divisors, whose sum is σ = 2524621561. Its totient is φ = 206807040.

The previous prime is 725117179. The next prime is 725117191. The reversal of 725117184 is 481711527.

The square root of 725117184 is 26928.

It is a perfect power (a square), and thus also a powerful number.

725117184 is a `hidden beast` number, since 72 + 511 + 71 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 564537600 + 160579584 = 23760^2 + 12672^2 .

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 44 ways as a sum of consecutive naturals, for example, 42653944 + ... + 42653960.

Almost surely, 2^725117184 is an apocalyptic number.

725117184 is the 26928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725117184

725117184 is an abundant number, since it is smaller than the sum of its proper divisors (1799504377).

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

725117184 is a wasteful number, since it uses less digits than its factorization.

725117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 33 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The cubic root of 725117184 is about 898.3992880448.

Multiplying 725117184 by its sum of digits (36), we get a square (26104218624 = 161568²).

725117184 divided by its sum of digits (36) gives a square (20142144 = 4488²).

The spelling of 725117184 in words is "seven hundred twenty-five million, one hundred seventeen thousand, one hundred eighty-four".