7405120 has 56 divisors (see below), whose sum is σ = 17931384. Its totient is φ = 2912256.

The previous prime is 7405061. The next prime is 7405127. The reversal of 7405120 is 215047.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 7354944 = 224^2 + 2712^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7405127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23202 + ... + 23518.

Almost surely, 2^7405120 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 7405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965692).

7405120 is an abundant number, since it is smaller than the sum of its proper divisors (10526264).

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

7405120 is a wasteful number, since it uses less digits than its factorization.

7405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 7405120 is about 2721.2350137392. The cubic root of 7405120 is about 194.9144485556.

The spelling of 7405120 in words is "seven million, four hundred five thousand, one hundred twenty".