725440356 has 45 divisors (see below), whose sum is σ = 1861536131. Its totient is φ = 238204296.

The previous prime is 725440351. The next prime is 725440357. The reversal of 725440356 is 653044527.

The square root of 725440356 is 26934.

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

It is a super-2 number, since 2×725440356² = 1052527420226813472, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 725440356.

It is not an unprimeable number, because it can be changed into a prime (725440351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10827435 + ... + 10827501.

Almost surely, 2^725440356 is an apocalyptic number.

725440356 is the 26934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725440356

725440356 is an abundant number, since it is smaller than the sum of its proper divisors (1136095775).

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

725440356 is an frugal number, since it uses more digits than its factorization.

725440356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The cubic root of 725440356 is about 898.5327351524.

Multiplying 725440356 by its sum of digits (36), we get a 4-th power (26115852816 = 402⁴).

725440356 divided by its sum of digits (36) gives a 4-th power (20151121 = 67⁴).

The spelling of 725440356 in words is "seven hundred twenty-five million, four hundred forty thousand, three hundred fifty-six".