11772400 has 60 divisors (see below), whose sum is σ = 29791000. Its totient is φ = 4458240.

The previous prime is 11772391. The next prime is 11772403. The reversal of 11772400 is 427711.

11772400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6826 + ... + 8374.

Almost surely, 2^11772400 is an apocalyptic number.

11772400 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 11772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895500).

11772400 is an abundant number, since it is smaller than the sum of its proper divisors (18018600).

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

11772400 is a wasteful number, since it uses less digits than its factorization.

11772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 11772400 is about 3431.0931202752. The cubic root of 11772400 is about 227.4861723270.

The spelling of 11772400 in words is "eleven million, seven hundred seventy-two thousand, four hundred".