1033119972 has 144 divisors (see below), whose sum is σ = 2767564800. Its totient is φ = 324642240.

The previous prime is 1033119947. The next prime is 1033119991. The reversal of 1033119972 is 2799113301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7886347 + ... + 7886477.

It is an arithmetic number, because the mean of its divisors is an integer number (19219200).

Almost surely, 2^1033119972 is an apocalyptic number.

1033119972 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 1033119972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

1033119972 is an abundant number, since it is smaller than the sum of its proper divisors (1734444828).

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

1033119972 is a wasteful number, since it uses less digits than its factorization.

1033119972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1033119972 is about 32142.1836843734. The cubic root of 1033119972 is about 1010.9203035441.

It can be divided in two parts, 10331 and 19972, that added together give a palindrome (30303).

The spelling of 1033119972 in words is "one billion, thirty-three million, one hundred nineteen thousand, nine hundred seventy-two".