725344776 has 144 divisors (see below), whose sum is σ = 2173150980. Its totient is φ = 217267200.

The previous prime is 725344771. The next prime is 725344799. The reversal of 725344776 is 677443527.

725344776 is a `hidden beast` number, since 7 + 2 + 534 + 47 + 76 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3132900 + 722211876 = 1770^2 + 26874^2 .

It is a super-2 number, since 2×725344776² = 1052250088140980352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725344771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1573186 + ... + 1573646.

Almost surely, 2^725344776 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 725344776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086575490).

725344776 is an abundant number, since it is smaller than the sum of its proper divisors (1447806204).

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

725344776 is a wasteful number, since it uses less digits than its factorization.

725344776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 520 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 725344776 is about 26932.2256042831. The cubic root of 725344776 is about 898.4932715217.

The spelling of 725344776 in words is "seven hundred twenty-five million, three hundred forty-four thousand, seven hundred seventy-six".