1972105872 has 160 divisors (see below), whose sum is σ = 5704349184. Its totient is φ = 582067200.

The previous prime is 1972105843. The next prime is 1972105921. The reversal of 1972105872 is 2785012791.

1972105872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3784972 + ... + 3785492.

Almost surely, 2^1972105872 is an apocalyptic number.

1972105872 is a gapful number since it is divisible by the number (12) 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 1972105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852174592).

1972105872 is an abundant number, since it is smaller than the sum of its proper divisors (3732243312).

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

1972105872 is a wasteful number, since it uses less digits than its factorization.

1972105872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The square root of 1972105872 is about 44408.3986651174. The cubic root of 1972105872 is about 1254.0362058994.

The spelling of 1972105872 in words is "one billion, nine hundred seventy-two million, one hundred five thousand, eight hundred seventy-two".