1133712072 has 128 divisors (see below), whose sum is σ = 3210307200. Its totient is φ = 370656000.

The previous prime is 1133712059. The next prime is 1133712091. The reversal of 1133712072 is 2702173311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3424947 + ... + 3425277.

It is an arithmetic number, because the mean of its divisors is an integer number (25080525).

Almost surely, 2^1133712072 is an apocalyptic number.

1133712072 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 1133712072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605153600).

1133712072 is an abundant number, since it is smaller than the sum of its proper divisors (2076595128).

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

1133712072 is a wasteful number, since it uses less digits than its factorization.

1133712072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1133712072 is about 33670.6410987376. The cubic root of 1133712072 is about 1042.7197280234.

Adding to 1133712072 its reverse (2702173311), we get a palindrome (3835885383).

It can be divided in two parts, 11337 and 12072, that added together give a square (23409 = 153²).

The spelling of 1133712072 in words is "one billion, one hundred thirty-three million, seven hundred twelve thousand, seventy-two".