7138320 has 120 divisors (see below), whose sum is σ = 25784064. Its totient is φ = 1628928.

The previous prime is 7138309. The next prime is 7138331. The reversal of 7138320 is 238317.

It is an interprime number because it is at equal distance from previous prime (7138309) and next prime (7138331).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7138320² = 101911224844800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11457 + ... + 12063.

Almost surely, 2^7138320 is an apocalyptic number.

7138320 is a gapful number since it is divisible by the number (70) 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 7138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892032).

7138320 is an abundant number, since it is smaller than the sum of its proper divisors (18645744).

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

7138320 is a wasteful number, since it uses less digits than its factorization.

7138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7138320 is about 2671.7634625842. The cubic root of 7138320 is about 192.5448931109.

The spelling of 7138320 in words is "seven million, one hundred thirty-eight thousand, three hundred twenty".