13772304 has 120 divisors (see below), whose sum is σ = 47483072. Its totient is φ = 3628800.

The previous prime is 13772299. The next prime is 13772309. The reversal of 13772304 is 40327731.

It is an interprime number because it is at equal distance from previous prime (13772299) and next prime (13772309).

It is not an unprimeable number, because it can be changed into a prime (13772309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12579 + ... + 13629.

Almost surely, 2^13772304 is an apocalyptic number.

13772304 is a gapful number since it is divisible by the number (14) 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 13772304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23741536).

13772304 is an abundant number, since it is smaller than the sum of its proper divisors (33710768).

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

13772304 is a wasteful number, since it uses less digits than its factorization.

13772304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13772304 is about 3711.1054956711. The cubic root of 13772304 is about 239.7004596371.

The spelling of 13772304 in words is "thirteen million, seven hundred seventy-two thousand, three hundred four".