7972072600 has 96 divisors (see below), whose sum is σ = 18751299840. Its totient is φ = 3151872000.

The previous prime is 7972072583. The next prime is 7972072601. The reversal of 7972072600 is 62702797.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972072601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6913624 + ... + 6914776.

It is an arithmetic number, because the mean of its divisors is an integer number (195326040).

Almost surely, 2^7972072600 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 7972072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375649920).

7972072600 is an abundant number, since it is smaller than the sum of its proper divisors (10779227240).

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

7972072600 is a wasteful number, since it uses less digits than its factorization.

7972072600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 7972072600 is about 89286.4636997121. The cubic root of 7972072600 is about 1997.6700032784.

The spelling of 7972072600 in words is "seven billion, nine hundred seventy-two million, seventy-two thousand, six hundred".