725152176 has 300 divisors, whose sum is σ = 2574236280. Its totient is φ = 195955200.

The previous prime is 725152171. The next prime is 725152193. The reversal of 725152176 is 671251527.

725152176 is a `hidden beast` number, since 72 + 515 + 2 + 1 + 76 = 666.

725152176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 725152176.

It is not an unprimeable number, because it can be changed into a prime (725152171) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206276 + ... + 1206876.

Almost surely, 2^725152176 is an apocalyptic number.

725152176 is a gapful number since it is divisible by the number (76) 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 725152176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287118140).

725152176 is an abundant number, since it is smaller than the sum of its proper divisors (1849084104).

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

725152176 is a wasteful number, since it uses less digits than its factorization.

725152176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 632 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 725152176 is about 26928.6497247820. The cubic root of 725152176 is about 898.4137391721.

It can be divided in two parts, 72515 and 2176, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 725152176 in words is "seven hundred twenty-five million, one hundred fifty-two thousand, one hundred seventy-six".