72369599791104 has 360 divisors, whose sum is σ = 260647960879488. Its totient is φ = 18797295697920.

The previous prime is 72369599791091. The next prime is 72369599791123. The reversal of 72369599791104 is 40119799596327.

72369599791104 is a `hidden beast` number, since 7 + 2 + 369 + 5 + 99 + 79 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8167179 + ... + 14541045.

Almost surely, 2^{72369599791104} 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 72369599791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130323980439744).

72369599791104 is an abundant number, since it is smaller than the sum of its proper divisors (188278361088384).

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

72369599791104 is a wasteful number, since it uses less digits than its factorization.

72369599791104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373919 (or 6373890 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 72369599791104 in words is "seventy-two trillion, three hundred sixty-nine billion, five hundred ninety-nine million, seven hundred ninety-one thousand, one hundred four".