7416288 has 72 divisors (see below), whose sum is σ = 23017176. Its totient is φ = 2246400.

The previous prime is 7416287. The next prime is 7416307. The reversal of 7416288 is 8826147.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7416287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1998 + ... + 4338.

It is an arithmetic number, because the mean of its divisors is an integer number (319683).

Almost surely, 2^7416288 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 7416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508588).

7416288 is an abundant number, since it is smaller than the sum of its proper divisors (15600888).

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

7416288 is a wasteful number, since it uses less digits than its factorization.

7416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2357 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7416288 is about 2723.2862501030. The cubic root of 7416288 is about 195.0123858010.

It can be divided in two parts, 74162 and 88, that multiplied together give a palindrome (6526256).

The spelling of 7416288 in words is "seven million, four hundred sixteen thousand, two hundred eighty-eight".