7449120 has 144 divisors (see below), whose sum is σ = 29090880. Its totient is φ = 1700352.

The previous prime is 7449103. The next prime is 7449133. The reversal of 7449120 is 219447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9711 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 2^7449120 is an apocalyptic number.

7449120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440).

7449120 is an abundant number, since it is smaller than the sum of its proper divisors (21641760).

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

7449120 is a wasteful number, since it uses less digits than its factorization.

7449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7449120 is about 2729.3076045034. The cubic root of 7449120 is about 195.2997362752.

It can be divided in two parts, 7449 and 120, that added together give a square (7569 = 87²).

The spelling of 7449120 in words is "seven million, four hundred forty-nine thousand, one hundred twenty".