73211872497120 has 432 divisors, whose sum is σ = 291659318325648. Its totient is φ = 16674585661440.

The previous prime is 73211872497073. The next prime is 73211872497157. The reversal of 73211872497120 is 2179427811237.

73211872497120 is a `hidden beast` number, since 7 + 3 + 21 + 1 + 8 + 7 + 2 + 497 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17981127 + ... + 21673593.

It is an arithmetic number, because the mean of its divisors is an integer number (675137310939).

Almost surely, 2^{73211872497120} is an apocalyptic number.

73211872497120 is a gapful number since it is divisible by the number (70) 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 73211872497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145829659162824).

73211872497120 is an abundant number, since it is smaller than the sum of its proper divisors (218447445828528).

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

73211872497120 is a wasteful number, since it uses less digits than its factorization.

73211872497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692783 (or 3692765 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 73211872497120 in words is "seventy-three trillion, two hundred eleven billion, eight hundred seventy-two million, four hundred ninety-seven thousand, one hundred twenty".