13772000 has 96 divisors (see below), whose sum is σ = 37031904. Its totient is φ = 4992000.

The previous prime is 13771999. The next prime is 13772039. The reversal of 13772000 is 27731.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43844 + ... + 44156.

It is an arithmetic number, because the mean of its divisors is an integer number (385749).

Almost surely, 2^13772000 is an apocalyptic number.

13772000 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 13772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515952).

13772000 is an abundant number, since it is smaller than the sum of its proper divisors (23259904).

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

13772000 is a wasteful number, since it uses less digits than its factorization.

13772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 13772000 is about 3711.0645372992. The cubic root of 13772000 is about 239.6986959652.

Adding to 13772000 its reverse (27731), we get a palindrome (13799731).

The spelling of 13772000 in words is "thirteen million, seven hundred seventy-two thousand".