1132572672 has 624 divisors, whose sum is σ = 4482115200. Its totient is φ = 278691840.

The previous prime is 1132572619. The next prime is 1132572697. The reversal of 1132572672 is 2762752311.

1132572672 is a `hidden beast` number, since 1 + 13 + 2 + 572 + 6 + 72 = 666.

It is a super-2 number, since 2×1132572672² = 2565441714722439168, which contains 22 as substring.

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

Its product of digits (35280) is a multiple of the sum of its prime divisors (42).

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, 59609079 + ... + 59609097.

Almost surely, 2^1132572672 is an apocalyptic number.

1132572672 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 1132572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241057600).

1132572672 is an abundant number, since it is smaller than the sum of its proper divisors (3349542528).

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

1132572672 is a wasteful number, since it uses less digits than its factorization.

1132572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 1132572672 is about 33653.7170606755. The cubic root of 1132572672 is about 1042.3702938882.

The spelling of 1132572672 in words is "one billion, one hundred thirty-two million, five hundred seventy-two thousand, six hundred seventy-two".