11752000 has 112 divisors (see below), whose sum is σ = 31619952. Its totient is φ = 4300800.

The previous prime is 11751967. The next prime is 11752003. The reversal of 11752000 is 25711.

It can be written as a sum of positive squares in 8 ways, for example, as 9585216 + 2166784 = 3096^2 + 1472^2 .

It is a hoax number, since the sum of its digits (16) 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 (16).

It is not an unprimeable number, because it can be changed into a prime (11752003) 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, 103944 + ... + 104056.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^11752000 is an apocalyptic number.

11752000 is a gapful number since it is divisible by the number (10) 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 11752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

11752000 is an abundant number, since it is smaller than the sum of its proper divisors (19867952).

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

11752000 is a wasteful number, since it uses less digits than its factorization.

11752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 11752000 is about 3428.1190177705. The cubic root of 11752000 is about 227.3546952824.

Adding to 11752000 its reverse (25711), we get a palindrome (11777711).

The spelling of 11752000 in words is "eleven million, seven hundred fifty-two thousand".