73234972800 has 768 divisors, whose sum is σ = 294506150400. Its totient is φ = 17625600000.

The previous prime is 73234972777. The next prime is 73234972801. The reversal of 73234972800 is 827943237.

73234972800 is a `hidden beast` number, since 7 + 323 + 49 + 7 + 280 + 0 = 666.

It is a super-2 number, since 2×73234972800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (73234972801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238550247 + ... + 238550553.

It is an arithmetic number, because the mean of its divisors is an integer number (383471550).

Almost surely, 2^73234972800 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 73234972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147253075200).

73234972800 is an abundant number, since it is smaller than the sum of its proper divisors (221271177600).

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

73234972800 is a wasteful number, since it uses less digits than its factorization.

73234972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 73234972800 in words is "seventy-three billion, two hundred thirty-four million, nine hundred seventy-two thousand, eight hundred".