725953536 has 528 divisors, whose sum is σ = 2787850240. Its totient is φ = 182476800.

The previous prime is 725953513. The next prime is 725953541. The reversal of 725953536 is 635359527.

It is a happy number.

725953536 is a `hidden beast` number, since 7 + 2 + 595 + 3 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

Its product of digits (850500) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 725953491 and 725953500.

It is a congruent number.

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, 23417841 + ... + 23417871.

Almost surely, 2^725953536 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 725953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393925120).

725953536 is an abundant number, since it is smaller than the sum of its proper divisors (2061896704).

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

725953536 is a wasteful number, since it uses less digits than its factorization.

725953536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its digits is 850500, while the sum is 45.

The square root of 725953536 is about 26943.5249364295. The cubic root of 725953536 is about 898.7445606722.

The spelling of 725953536 in words is "seven hundred twenty-five million, nine hundred fifty-three thousand, five hundred thirty-six".