72369936000 has 640 divisors, whose sum is σ = 283026744000. Its totient is φ = 18276710400.

The previous prime is 72369935951. The next prime is 72369936053. The reversal of 72369936000 is 63996327.

72369936000 is a `hidden beast` number, since 7 + 2 + 36 + 9 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24622531 + ... + 24625469.

Almost surely, 2^72369936000 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 72369936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141513372000).

72369936000 is an abundant number, since it is smaller than the sum of its proper divisors (210656808000).

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

72369936000 is a wasteful number, since it uses less digits than its factorization.

72369936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 72369936000 in words is "seventy-two billion, three hundred sixty-nine million, nine hundred thirty-six thousand".