725041296 has 240 divisors, whose sum is σ = 2541801600. Its totient is φ = 188116992.

The previous prime is 725041277. The next prime is 725041319. The reversal of 725041296 is 692140527.

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

It is a self number, because there is not a number n which added to its sum of digits gives 725041296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496215 + ... + 497673.

It is an arithmetic number, because the mean of its divisors is an integer number (10590840).

Almost surely, 2^725041296 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 725041296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270900800).

725041296 is an abundant number, since it is smaller than the sum of its proper divisors (1816760304).

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

725041296 is a wasteful number, since it uses less digits than its factorization.

725041296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 725041296 is about 26926.5908722215. The cubic root of 725041296 is about 898.3679459366.

The spelling of 725041296 in words is "seven hundred twenty-five million, forty-one thousand, two hundred ninety-six".