11372800 has 54 divisors (see below), whose sum is σ = 28165298. Its totient is φ = 4546560.

The previous prime is 11372791. The next prime is 11372807. The reversal of 11372800 is 827311.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 10653696 = 848^2 + 3264^2 .

It is not an unprimeable number, because it can be changed into a prime (11372807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5512 + ... + 7288.

Almost surely, 2^11372800 is an apocalyptic number.

11372800 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 11372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082649).

11372800 is an abundant number, since it is smaller than the sum of its proper divisors (16792498).

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

11372800 is an equidigital number, since it uses as much as digits as its factorization.

11372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11372800 is about 3372.3582253373. The cubic root of 11372800 is about 224.8825724701.

The spelling of 11372800 in words is "eleven million, three hundred seventy-two thousand, eight hundred".