73056932832 has 384 divisors, whose sum is σ = 229352739840. Its totient is φ = 20145438720.

The previous prime is 73056932831. The next prime is 73056932873. The reversal of 73056932832 is 23823965037.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73056932831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52900782 + ... + 52902162.

It is an arithmetic number, because the mean of its divisors is an integer number (597272760).

Almost surely, 2^73056932832 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 73056932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114676369920).

73056932832 is an abundant number, since it is smaller than the sum of its proper divisors (156295807008).

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

73056932832 is a wasteful number, since it uses less digits than its factorization.

73056932832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 73056932832 in words is "seventy-three billion, fifty-six million, nine hundred thirty-two thousand, eight hundred thirty-two".