725114880 has 336 divisors, whose sum is σ = 2882883744. Its totient is φ = 165150720.

The previous prime is 725114843. The next prime is 725114903. The reversal of 725114880 is 88411527.

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580340 + ... + 2580620.

Almost surely, 2^725114880 is an apocalyptic number.

725114880 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 725114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441441872).

725114880 is an abundant number, since it is smaller than the sum of its proper divisors (2157768864).

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

725114880 is a wasteful number, since it uses less digits than its factorization.

725114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 725114880 is about 26927.9572192174. The cubic root of 725114880 is about 898.3983365139.

The spelling of 725114880 in words is "seven hundred twenty-five million, one hundred fourteen thousand, eight hundred eighty".