725022095616 has 1728 divisors, whose sum is σ = 2902733783040. Its totient is φ = 173605109760.

The previous prime is 725022095591. The next prime is 725022095621. The reversal of 725022095616 is 616590220527.

725022095616 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 2 + 20 + 9 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×725022095616³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7039049421 + ... + 7039049523.

Almost surely, 2^725022095616 is an apocalyptic number.

725022095616 is a gapful number since it is divisible by the number (76) 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 725022095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451366891520).

725022095616 is an abundant number, since it is smaller than the sum of its proper divisors (2177711687424).

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

725022095616 is a wasteful number, since it uses less digits than its factorization.

725022095616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 725022095616 in words is "seven hundred twenty-five billion, twenty-two million, ninety-five thousand, six hundred sixteen".