7418720 has 48 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 2939904.

The previous prime is 7418711. The next prime is 7418729. The reversal of 7418720 is 278147.

7418720 = T₂₂₁ + T₂₂₂ + ... + T₃₈₀.

It is an interprime number because it is at equal distance from previous prime (7418711) and next prime (7418729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7418729) 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, 31724 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^7418720 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 7418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

7418720 is an abundant number, since it is smaller than the sum of its proper divisors (10271680).

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

7418720 is a wasteful number, since it uses less digits than its factorization.

7418720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 7418720 is about 2723.7327328503. The cubic root of 7418720 is about 195.0337000708.

It can be divided in two parts, 74 and 18720, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 7418720 in words is "seven million, four hundred eighteen thousand, seven hundred twenty".