7291416 has 64 divisors (see below), whose sum is σ = 20217600. Its totient is φ = 2172800.

The previous prime is 7291411. The next prime is 7291423. The reversal of 7291416 is 6141927.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7291411) 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, 18550 + ... + 18938.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 2^7291416 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 7291416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108800).

7291416 is an abundant number, since it is smaller than the sum of its proper divisors (12926184).

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

7291416 is a wasteful number, since it uses less digits than its factorization.

7291416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 7291416 is about 2700.2622094900. The cubic root of 7291416 is about 193.9116755268.

It can be divided in two parts, 729 and 1416, that added together give a triangular number (2145 = T₆₅).

The spelling of 7291416 in words is "seven million, two hundred ninety-one thousand, four hundred sixteen".