7138368 has 126 divisors (see below), whose sum is σ = 22496526. Its totient is φ = 2239488.

The previous prime is 7138367. The next prime is 7138393. The reversal of 7138368 is 8638317.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 419904 = 2592^2 + 648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7138363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419896 + ... + 419912.

Almost surely, 2^7138368 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 7138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248263).

7138368 is an abundant number, since it is smaller than the sum of its proper divisors (15358158).

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

7138368 is an frugal number, since it uses more digits than its factorization.

7138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 22 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7138368 is about 2671.7724454002. The cubic root of 7138368 is about 192.5453246846.

The spelling of 7138368 in words is "seven million, one hundred thirty-eight thousand, three hundred sixty-eight".