73605957120 has 400 divisors, whose sum is σ = 265660103808. Its totient is φ = 19477463040.

The previous prime is 73605957119. The next prime is 73605957169. The reversal of 73605957120 is 2175950637.

73605957120 is a `hidden beast` number, since 7 + 3 + 6 + 0 + 59 + 571 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28407025 + ... + 28409615.

Almost surely, 2^73605957120 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 73605957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132830051904).

73605957120 is an abundant number, since it is smaller than the sum of its proper divisors (192054146688).

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

73605957120 is a wasteful number, since it uses less digits than its factorization.

73605957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 73605957120 in words is "seventy-three billion, six hundred five million, nine hundred fifty-seven thousand, one hundred twenty".