1972159252 has 72 divisors (see below), whose sum is σ = 4108104000. Its totient is φ = 825745536.

The previous prime is 1972159247. The next prime is 1972159253. The reversal of 1972159252 is 2529512791.

It is a junction number, because it is equal to n+sod(n) for n = 1972159199 and 1972159208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972159253) 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, 2300808 + ... + 2301664.

It is an arithmetic number, because the mean of its divisors is an integer number (57057000).

Almost surely, 2^1972159252 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 1972159252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054052000).

1972159252 is an abundant number, since it is smaller than the sum of its proper divisors (2135944748).

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

1972159252 is a wasteful number, since it uses less digits than its factorization.

1972159252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1124 counting only the distinct ones).

The product of its digits is 113400, while the sum is 43.

The square root of 1972159252 is about 44408.9996734896. Note that the first 3 decimals coincide. The cubic root of 1972159252 is about 1254.0475203442.

The spelling of 1972159252 in words is "one billion, nine hundred seventy-two million, one hundred fifty-nine thousand, two hundred fifty-two".