732564 has 120 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 186624.

The previous prime is 732541. The next prime is 732601. The reversal of 732564 is 465237.

It is a happy number.

732564 is digitally balanced in base 2, 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).

Its product of digits (5040) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 732564.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38547 + ... + 38565.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2⁷³²⁵⁶⁴ 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 732564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

732564 is an abundant number, since it is smaller than the sum of its proper divisors (1706796).

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

732564 is a wasteful number, since it uses less digits than its factorization.

732564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 732564 is about 855.8995268137. The cubic root of 732564 is about 90.1464283014.

It can be divided in two parts, 732 and 564, that added together give a 4-th power (1296 = 6⁴).

The spelling of 732564 in words is "seven hundred thirty-two thousand, five hundred sixty-four".