725917215100 has 432 divisors, whose sum is σ = 2043362716416. Its totient is φ = 217413504000.

The previous prime is 725917215091. The next prime is 725917215181. The reversal of 725917215100 is 1512719527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 953898720 + ... + 953899480.

It is an arithmetic number, because the mean of its divisors is an integer number (4730006288).

Almost surely, 2^725917215100 is an apocalyptic number.

725917215100 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 725917215100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021681358208).

725917215100 is an abundant number, since it is smaller than the sum of its proper divisors (1317445501316).

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

725917215100 is a wasteful number, since it uses less digits than its factorization.

725917215100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 40.

The spelling of 725917215100 in words is "seven hundred twenty-five billion, nine hundred seventeen million, two hundred fifteen thousand, one hundred".