7133616 has 120 divisors (see below), whose sum is σ = 23889840. Its totient is φ = 2032128.

The previous prime is 7133603. The next prime is 7133647. The reversal of 7133616 is 6163317.

7133616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7133616.

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, 21000 + ... + 21336.

It is an arithmetic number, because the mean of its divisors is an integer number (199082).

Almost surely, 2^7133616 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 7133616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944920).

7133616 is an abundant number, since it is smaller than the sum of its proper divisors (16756224).

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

7133616 is a wasteful number, since it uses less digits than its factorization.

7133616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 7133616 is about 2670.8830000582. The cubic root of 7133616 is about 192.5025894968.

Subtracting from 7133616 its reverse (6163317), we obtain a cube (970299 = 99³).

The spelling of 7133616 in words is "seven million, one hundred thirty-three thousand, six hundred sixteen".