7972573180 has 96 divisors (see below), whose sum is σ = 20304119808. Its totient is φ = 2589753600.

The previous prime is 7972573159. The next prime is 7972573207. The reversal of 7972573180 is 813752797.

It is a happy number.

It is a super-2 number, since 2×7972573180² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43699 + ... + 133621.

It is an arithmetic number, because the mean of its divisors is an integer number (211501248).

Almost surely, 2^7972573180 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 7972573180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152059904).

7972573180 is an abundant number, since it is smaller than the sum of its proper divisors (12331546628).

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

7972573180 is a wasteful number, since it uses less digits than its factorization.

7972573180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89987 (or 89985 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The square root of 7972573180 is about 89289.2668801799. The cubic root of 7972573180 is about 1997.7118147692.

The spelling of 7972573180 in words is "seven billion, nine hundred seventy-two million, five hundred seventy-three thousand, one hundred eighty".