11372400 has 240 divisors, whose sum is σ = 44129120. Its totient is φ = 2799360.

The previous prime is 11372399. The next prime is 11372401. The reversal of 11372400 is 427311.

11372400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11372399) and next prime (11372401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11372401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874794 + ... + 874806.

Almost surely, 2^11372400 is an apocalyptic number.

11372400 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 11372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064560).

11372400 is an abundant number, since it is smaller than the sum of its proper divisors (32756720).

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

11372400 is an equidigital number, since it uses as much as digits as its factorization.

11372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11372400 is about 3372.2989191351. The cubic root of 11372400 is about 224.8799359431.

Adding to 11372400 its reverse (427311), we get a palindrome (11799711).

The spelling of 11372400 in words is "eleven million, three hundred seventy-two thousand, four hundred".