725534208000 has 1248 divisors, whose sum is σ = 3036288632832. Its totient is φ = 163233792000.

The previous prime is 725534207969. The next prime is 725534208097. The reversal of 725534208000 is 802435527.

725534208000 is a `hidden beast` number, since 7 + 2 + 553 + 4 + 20 + 80 + 0 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2677247865 + ... + 2677248135.

It is an arithmetic number, because the mean of its divisors is an integer number (2432923584).

Almost surely, 2^725534208000 is an apocalyptic number.

725534208000 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 725534208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518144316416).

725534208000 is an abundant number, since it is smaller than the sum of its proper divisors (2310754424832).

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

725534208000 is a wasteful number, since it uses less digits than its factorization.

725534208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 725534208000 in words is "seven hundred twenty-five billion, five hundred thirty-four million, two hundred eight thousand".