13415072 has 48 divisors (see below), whose sum is σ = 30082752. Its totient is φ = 5829120.

The previous prime is 13415071. The next prime is 13415093. The reversal of 13415072 is 27051431.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (13415071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7268 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (626724).

Almost surely, 2^13415072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041376).

13415072 is an abundant number, since it is smaller than the sum of its proper divisors (16667680).

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

13415072 is a wasteful number, since it uses less digits than its factorization.

13415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13415072 is about 3662.6591433001. The cubic root of 13415072 is about 237.6097930037.

The spelling of 13415072 in words is "thirteen million, four hundred fifteen thousand, seventy-two".