13772700 has 72 divisors (see below), whose sum is σ = 44285360. Its totient is φ = 3672000.

The previous prime is 13772683. The next prime is 13772729. The reversal of 13772700 is 727731.

13772700 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150 + ... + 5250.

Almost surely, 2^13772700 is an apocalyptic number.

13772700 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 13772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142680).

13772700 is an abundant number, since it is smaller than the sum of its proper divisors (30512660).

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

13772700 is a wasteful number, since it uses less digits than its factorization.

13772700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 13772700 is about 3711.1588486617. The cubic root of 13772700 is about 239.7027570128.

The spelling of 13772700 in words is "thirteen million, seven hundred seventy-two thousand, seven hundred".