7164032 has 32 divisors (see below), whose sum is σ = 14444220. Its totient is φ = 3538944.

The previous prime is 7164029. The next prime is 7164037. The reversal of 7164032 is 2304617.

It can be written as a sum of positive squares in 2 ways, for example, as 6431296 + 732736 = 2536^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 7163989 and 7164007.

It is not an unprimeable number, because it can be changed into a prime (7164037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12128 + ... + 12704.

Almost surely, 2^7164032 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 7164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222110).

7164032 is an abundant number, since it is smaller than the sum of its proper divisors (7280188).

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

7164032 is an equidigital number, since it uses as much as digits as its factorization.

7164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 7164032 is about 2676.5709405880. The cubic root of 7164032 is about 192.7757962764.

Adding to 7164032 its reverse (2304617), we get a palindrome (9468649).

The spelling of 7164032 in words is "seven million, one hundred sixty-four thousand, thirty-two".