13407072 has 96 divisors (see below), whose sum is σ = 40932864. Its totient is φ = 3763200.

The previous prime is 13407059. The next prime is 13407083. The reversal of 13407072 is 27070431.

Added to its reverse (27070431) it gives a triangular number (40477503 = T₈₉₉₇).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13407072² = 359499159226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 47572 + ... + 47852.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 2^13407072 is an apocalyptic number.

13407072 is a gapful number since it is divisible by the number (12) 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 13407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466432).

13407072 is an abundant number, since it is smaller than the sum of its proper divisors (27525792).

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

13407072 is a wasteful number, since it uses less digits than its factorization.

13407072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13407072 is about 3661.5668777178. The cubic root of 13407072 is about 237.5625512066.

Adding to 13407072 its reverse (27070431), we get a triangular number (40477503 = T₈₉₉₇).

The spelling of 13407072 in words is "thirteen million, four hundred seven thousand, seventy-two".