725197320 has 256 divisors, whose sum is σ = 2592000000. Its totient is φ = 179801856.

The previous prime is 725197313. The next prime is 725197349. The reversal of 725197320 is 23791527.

725197320 is a `hidden beast` number, since 72 + 519 + 73 + 2 + 0 = 666.

It is a super-2 number, since 2×725197320² = 1051822305870364800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1210381 + ... + 1210979.

It is an arithmetic number, because the mean of its divisors is an integer number (10125000).

Almost surely, 2^725197320 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 725197320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000000).

725197320 is an abundant number, since it is smaller than the sum of its proper divisors (1866802680).

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

725197320 is a wasteful number, since it uses less digits than its factorization.

725197320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 725197320 is about 26929.4879268062. The cubic root of 725197320 is about 898.4323822237.

The spelling of 725197320 in words is "seven hundred twenty-five million, one hundred ninety-seven thousand, three hundred twenty".