725227536 has 240 divisors, whose sum is σ = 2208608640. Its totient is φ = 204441600.

The previous prime is 725227493. The next prime is 725227537. The reversal of 725227536 is 635722527.

It is a junction number, because it is equal to n+sod(n) for n = 725227494 and 725227503.

It is not an unprimeable number, because it can be changed into a prime (725227537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8148580 + ... + 8148668.

It is an arithmetic number, because the mean of its divisors is an integer number (9202536).

Almost surely, 2^725227536 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 725227536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104304320).

725227536 is an abundant number, since it is smaller than the sum of its proper divisors (1483381104).

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

725227536 is a wasteful number, since it uses less digits than its factorization.

725227536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 725227536 is about 26930.0489416562. The cubic root of 725227536 is about 898.4448600487. Note that the first 3 decimals are identical.

The spelling of 725227536 in words is "seven hundred twenty-five million, two hundred twenty-seven thousand, five hundred thirty-six".