1152252672 has 72 divisors (see below), whose sum is σ = 3072082944. Its totient is φ = 383407104.

The previous prime is 1152252649. The next prime is 1152252677. The reversal of 1152252672 is 2762522511.

It is a super-2 number, since 2×1152252672² = 2655372440262279168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1152252677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631153 + ... + 632975.

Almost surely, 2^1152252672 is an apocalyptic number.

1152252672 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 1152252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536041472).

1152252672 is an abundant number, since it is smaller than the sum of its proper divisors (1919830272).

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

1152252672 is an equidigital number, since it uses as much as digits as its factorization.

1152252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2651 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 1152252672 is about 33944.8475029716. The cubic root of 1152252672 is about 1048.3731942070.

The spelling of 1152252672 in words is "one billion, one hundred fifty-two million, two hundred fifty-two thousand, six hundred seventy-two".