7972895031192 has 384 divisors, whose sum is σ = 27305517657600. Its totient is φ = 2045781909504.

The previous prime is 7972895031131. The next prime is 7972895031193. The reversal of 7972895031192 is 2911305982797.

7972895031192 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 8 + 9 + 503 + 119 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972895031193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37390783 + ... + 37603409.

It is an arithmetic number, because the mean of its divisors is an integer number (71108118900).

Almost surely, 2^{7972895031192} is an apocalyptic number.

7972895031192 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 7972895031192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652758828800).

7972895031192 is an abundant number, since it is smaller than the sum of its proper divisors (19332622626408).

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

7972895031192 is a wasteful number, since it uses less digits than its factorization.

7972895031192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212815 (or 212808 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 7972895031192 in words is "seven trillion, nine hundred seventy-two billion, eight hundred ninety-five million, thirty-one thousand, one hundred ninety-two".