73172672832 has 112 divisors (see below), whose sum is σ = 221899276800. Its totient is φ = 20846095872.

The previous prime is 73172672803. The next prime is 73172672861. The reversal of 73172672832 is 23827627137.

It is an interprime number because it is at equal distance from previous prime (73172672803) and next prime (73172672861).

It is a tau number, because it is divible by the number of its divisors (112).

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387919 + ... + 544817.

Almost surely, 2^73172672832 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 73172672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110949638400).

73172672832 is an abundant number, since it is smaller than the sum of its proper divisors (148726603968).

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

73172672832 is a wasteful number, since it uses less digits than its factorization.

73172672832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157268 (or 157258 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The spelling of 73172672832 in words is "seventy-three billion, one hundred seventy-two million, six hundred seventy-two thousand, eight hundred thirty-two".