1172791872 has 420 divisors, whose sum is σ = 4274484720. Its totient is φ = 317447424.

The previous prime is 1172791861. The next prime is 1172791877. The reversal of 1172791872 is 2781972711.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (98784) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (1172791877) 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 59 ways as a sum of consecutive naturals, for example, 61725879 + ... + 61725897.

Almost surely, 2^1172791872 is an apocalyptic number.

1172791872 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 1172791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137242360).

1172791872 is an abundant number, since it is smaller than the sum of its proper divisors (3101692848).

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

1172791872 is an frugal number, since it uses more digits than its factorization.

1172791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its digits is 98784, while the sum is 45.

The square root of 1172791872 is about 34246.0489983881. The cubic root of 1172791872 is about 1054.5657180987.

The spelling of 1172791872 in words is "one billion, one hundred seventy-two million, seven hundred ninety-one thousand, eight hundred seventy-two".