7972025472 has 288 divisors, whose sum is σ = 25017642000. Its totient is φ = 2429844480.

The previous prime is 7972025471. The next prime is 7972025473. The reversal of 7972025472 is 2745202797.

It is an interprime number because it is at equal distance from previous prime (7972025471) and next prime (7972025473).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7972025471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21034179 + ... + 21034557.

Almost surely, 2^7972025472 is an apocalyptic number.

7972025472 is a gapful number since it is divisible by the number (72) 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 7972025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508821000).

7972025472 is an abundant number, since it is smaller than the sum of its proper divisors (17045616528).

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

7972025472 is a wasteful number, since it uses less digits than its factorization.

7972025472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7972025472 is about 89286.1997847372. The cubic root of 7972025472 is about 1997.6660667706. Note that the first 3 decimals are identical.

The spelling of 7972025472 in words is "seven billion, nine hundred seventy-two million, twenty-five thousand, four hundred seventy-two".