73257922080 has 576 divisors, whose sum is σ = 296859064320. Its totient is φ = 16101752832.

The previous prime is 73257922021. The next prime is 73257922091. The reversal of 73257922080 is 8022975237.

73257922080 is a `hidden beast` number, since 73 + 2 + 579 + 2 + 2 + 0 + 8 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33192337 + ... + 33194543.

It is an arithmetic number, because the mean of its divisors is an integer number (515380320).

Almost surely, 2^73257922080 is an apocalyptic number.

73257922080 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 73257922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148429532160).

73257922080 is an abundant number, since it is smaller than the sum of its proper divisors (223601142240).

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

73257922080 is a wasteful number, since it uses less digits than its factorization.

73257922080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 73257922080 in words is "seventy-three billion, two hundred fifty-seven million, nine hundred twenty-two thousand, eighty".