13778072 has 32 divisors (see below), whose sum is σ = 32209920. Its totient is φ = 5367840.

The previous prime is 13778071. The next prime is 13778099. The reversal of 13778072 is 27087731.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10568 + ... + 11799.

It is an arithmetic number, because the mean of its divisors is an integer number (1006560).

Almost surely, 2^13778072 is an apocalyptic number.

It is an amenable number.

13778072 is an abundant number, since it is smaller than the sum of its proper divisors (18431848).

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

13778072 is a wasteful number, since it uses less digits than its factorization.

13778072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22391 (or 22387 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The square root of 13778072 is about 3711.8825412451. The cubic root of 13778072 is about 239.7339180737.

It can be divided in two parts, 1377 and 8072, that added together give a palindrome (9449).

The spelling of 13778072 in words is "thirteen million, seven hundred seventy-eight thousand, seventy-two".