73749887188992 has 2432 divisors, whose sum is σ = 285271183687680. Its totient is φ = 18566036324352.

The previous prime is 73749887188987. The next prime is 73749887189053. The reversal of 73749887188992 is 29988178894737.

73749887188992 is a `hidden beast` number, since 7 + 37 + 498 + 8 + 7 + 1 + 8 + 89 + 9 + 2 = 666.

It is a super-3 number, since 3×73749887188992³ (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1569146535913 + ... + 1569146535959.

Almost surely, 2^{73749887188992} is an apocalyptic number.

73749887188992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73749887188992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142635591843840).

73749887188992 is an abundant number, since it is smaller than the sum of its proper divisors (211521296498688).

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

73749887188992 is an frugal number, since it uses more digits than its factorization.

73749887188992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 99 counting only the distinct ones).

The product of its digits is 24580620288, while the sum is 90.

The spelling of 73749887188992 in words is "seventy-three trillion, seven hundred forty-nine billion, eight hundred eighty-seven million, one hundred eighty-eight thousand, nine hundred ninety-two".