7267140 has 72 divisors (see below), whose sum is σ = 22538880. Its totient is φ = 1894464.

The previous prime is 7267123. The next prime is 7267147. The reversal of 7267140 is 417627.

7267140 = 65² + 66² + ... + 280².

7267140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7267140² = 105622647559200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7267147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8031 + ... + 8889.

It is an arithmetic number, because the mean of its divisors is an integer number (313040).

Almost surely, 2^7267140 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 7267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269440).

7267140 is an abundant number, since it is smaller than the sum of its proper divisors (15271740).

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

7267140 is a wasteful number, since it uses less digits than its factorization.

7267140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7267140 is about 2695.7633427287. The cubic root of 7267140 is about 193.6962334333.

The spelling of 7267140 in words is "seven million, two hundred sixty-seven thousand, one hundred forty".