11752992 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3836160.

The previous prime is 11752981. The next prime is 11752997. The reversal of 11752992 is 29925711.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11752997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52593 + ... + 52815.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^11752992 is an apocalyptic number.

11752992 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 11752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

11752992 is an abundant number, since it is smaller than the sum of its proper divisors (23244768).

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

11752992 is a wasteful number, since it uses less digits than its factorization.

11752992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 11752992 is about 3428.2637004758. The cubic root of 11752992 is about 227.3610921939.

The spelling of 11752992 in words is "eleven million, seven hundred fifty-two thousand, nine hundred ninety-two".