13772772 has 36 divisors (see below), whose sum is σ = 37493820. Its totient is φ = 4237632.

The previous prime is 13772753. The next prime is 13772809. The reversal of 13772772 is 27727731.

13772772 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 can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 6022116 = 2784^2 + 2454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14247 + ... + 15182.

It is an arithmetic number, because the mean of its divisors is an integer number (1041495).

Almost surely, 2^13772772 is an apocalyptic number.

13772772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13772772 is an abundant number, since it is smaller than the sum of its proper divisors (23721048).

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

13772772 is a wasteful number, since it uses less digits than its factorization.

13772772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29452 (or 29447 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 13772772 is about 3711.1685491230. The cubic root of 13772772 is about 239.7031747128.

It can be divided in two parts, 1 and 3772772, that added together give a palindrome (3772773).

The spelling of 13772772 in words is "thirteen million, seven hundred seventy-two thousand, seven hundred seventy-two".