7207872 has 112 divisors (see below), whose sum is σ = 22628352. Its totient is φ = 1981440.

The previous prime is 7207867. The next prime is 7207877. The reversal of 7207872 is 2787027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7207867) and next prime (7207877).

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7207877) 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, 41578 + ... + 41750.

Almost surely, 2^7207872 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 7207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314176).

7207872 is an abundant number, since it is smaller than the sum of its proper divisors (15420480).

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

7207872 is a wasteful number, since it uses less digits than its factorization.

7207872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 7207872 is about 2684.7480328701. The cubic root of 7207872 is about 193.1682247380.

The spelling of 7207872 in words is "seven million, two hundred seven thousand, eight hundred seventy-two".