725896710 has 384 divisors, whose sum is σ = 2560896000. Its totient is φ = 138101760.

The previous prime is 725896681. The next prime is 725896733. The reversal of 725896710 is 17698527.

725896710 is a `hidden beast` number, since 7 + 2 + 589 + 67 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4871716 + ... + 4871864.

It is an arithmetic number, because the mean of its divisors is an integer number (6669000).

Almost surely, 2^725896710 is an apocalyptic number.

725896710 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 725896710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280448000).

725896710 is an abundant number, since it is smaller than the sum of its proper divisors (1834999290).

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

725896710 is a wasteful number, since it uses less digits than its factorization.

725896710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 725896710 is about 26942.4703767119. The cubic root of 725896710 is about 898.7211094968.

The spelling of 725896710 in words is "seven hundred twenty-five million, eight hundred ninety-six thousand, seven hundred ten".