72398361600 has 264 divisors, whose sum is σ = 265869600320. Its totient is φ = 19306045440.

The previous prime is 72398361599. The next prime is 72398361613. The reversal of 72398361600 is 616389327.

72398361600 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 8 + 36 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638829 + ... + 743571.

Almost surely, 2^72398361600 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 72398361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132934800160).

72398361600 is an abundant number, since it is smaller than the sum of its proper divisors (193471238720).

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

72398361600 is a wasteful number, since it uses less digits than its factorization.

72398361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104782 (or 104753 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 72398361600 in words is "seventy-two billion, three hundred ninety-eight million, three hundred sixty-one thousand, six hundred".