7360144 has 80 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 3024000.

The previous prime is 7360141. The next prime is 7360147. The reversal of 7360144 is 4410637.

7360144 = 228² + 229² + ... + 323².

It is an interprime number because it is at equal distance from previous prime (7360141) and next prime (7360147).

It is not an unprimeable number, because it can be changed into a prime (7360141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103629 + ... + 103699.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^7360144 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 7360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

7360144 is an abundant number, since it is smaller than the sum of its proper divisors (9781616).

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

7360144 is a wasteful number, since it uses less digits than its factorization.

7360144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7360144 is about 2712.9585326724. The cubic root of 7360144 is about 194.5190338296.

The spelling of 7360144 in words is "seven million, three hundred sixty thousand, one hundred forty-four".