7456720 has 40 divisors (see below), whose sum is σ = 17561376. Its totient is φ = 2944128.

The previous prime is 7456667. The next prime is 7456733. The reversal of 7456720 is 276547.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6079 + ... + 7201.

Almost surely, 2^7456720 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 7456720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780688).

7456720 is an abundant number, since it is smaller than the sum of its proper divisors (10104656).

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

7456720 is a wasteful number, since it uses less digits than its factorization.

7456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 7456720 is about 2730.6995440729. The cubic root of 7456720 is about 195.3661321941.

The spelling of 7456720 in words is "seven million, four hundred fifty-six thousand, seven hundred twenty".