725074560 has 384 divisors, whose sum is σ = 2927808000. Its totient is φ = 165279744.

The previous prime is 725074549. The next prime is 725074573. The reversal of 725074560 is 65470527.

725074560 is a `hidden beast` number, since 7 + 25 + 0 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975497 + ... + 1975863.

It is an arithmetic number, because the mean of its divisors is an integer number (7624500).

Almost surely, 2^725074560 is an apocalyptic number.

725074560 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 725074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463904000).

725074560 is an abundant number, since it is smaller than the sum of its proper divisors (2202733440).

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

725074560 is a wasteful number, since it uses less digits than its factorization.

725074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 725074560 is about 26927.2085445187. The cubic root of 725074560 is about 898.3816843974.

It can be divided in two parts, 7250 and 74560, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 725074560 in words is "seven hundred twenty-five million, seventy-four thousand, five hundred sixty".