72969217200 has 240 divisors, whose sum is σ = 283327401600. Its totient is φ = 17689478400.

The previous prime is 72969217133. The next prime is 72969217219. The reversal of 72969217200 is 271296927.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188310 + ... + 425909.

It is an arithmetic number, because the mean of its divisors is an integer number (1180530840).

Almost surely, 2^72969217200 is an apocalyptic number.

It is an amenable number.

72969217200 is an abundant number, since it is smaller than the sum of its proper divisors (210358184400).

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

72969217200 is a wasteful number, since it uses less digits than its factorization.

72969217200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614257 (or 614240 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 72969217200 in words is "seventy-two billion, nine hundred sixty-nine million, two hundred seventeen thousand, two hundred".