7338072 has 64 divisors (see below), whose sum is σ = 21657600. Its totient is φ = 2027520.

The previous prime is 7338061. The next prime is 7338077. The reversal of 7338072 is 2708337.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7338077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4504 + ... + 5912.

It is an arithmetic number, because the mean of its divisors is an integer number (338400).

Almost surely, 2^7338072 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 7338072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828800).

7338072 is an abundant number, since it is smaller than the sum of its proper divisors (14319528).

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

7338072 is a wasteful number, since it uses less digits than its factorization.

7338072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 7338072 is about 2708.8875945672. The cubic root of 7338072 is about 194.3243943831.

The spelling of 7338072 in words is "seven million, three hundred thirty-eight thousand, seventy-two".