7332864 has 176 divisors, whose sum is σ = 25153536. Its totient is φ = 1843200.

The previous prime is 7332863. The next prime is 7332877. The reversal of 7332864 is 4682337.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (7332863) 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, 236529 + ... + 236559.

Almost surely, 2^7332864 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 7332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12576768).

7332864 is an abundant number, since it is smaller than the sum of its proper divisors (17820672).

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

7332864 is a wasteful number, since it uses less digits than its factorization.

7332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 7332864 is about 2707.9261437491. The cubic root of 7332864 is about 194.2784113254.

The spelling of 7332864 in words is "seven million, three hundred thirty-two thousand, eight hundred sixty-four".