7391872 has 64 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 3354624.

The previous prime is 7391863. The next prime is 7391873. The reversal of 7391872 is 2781937.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7391873) 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, 93529 + ... + 93607.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 2^7391872 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 7391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

7391872 is an abundant number, since it is smaller than the sum of its proper divisors (8764928).

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

7391872 is a wasteful number, since it uses less digits than its factorization.

7391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 7391872 is about 2718.7997351773. The cubic root of 7391872 is about 194.7981430786.

The spelling of 7391872 in words is "seven million, three hundred ninety-one thousand, eight hundred seventy-two".