2972136072192 has 704 divisors, whose sum is σ = 9582318144000. Its totient is φ = 818101616640.

The previous prime is 2972136072181. The next prime is 2972136072193. The reversal of 2972136072192 is 2912706312792.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2972136072193) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3844936318 + ... + 3844937090.

Almost surely, 2^{2972136072192} 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 2972136072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791159072000).

2972136072192 is an abundant number, since it is smaller than the sum of its proper divisors (6610182071808).

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

2972136072192 is an equidigital number, since it uses as much as digits as its factorization.

2972136072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 2972136072192 in words is "two trillion, nine hundred seventy-two billion, one hundred thirty-six million, seventy-two thousand, one hundred ninety-two".