732072 has 64 divisors (see below), whose sum is σ = 2073600. Its totient is φ = 213440.

The previous prime is 732041. The next prime is 732073. The reversal of 732072 is 270237.

732072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (732073) by changing a digit.

732072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12379 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁷³²⁰⁷² 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 732072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036800).

732072 is an abundant number, since it is smaller than the sum of its proper divisors (1341528).

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

732072 is a wasteful number, since it uses less digits than its factorization.

732072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 732072 is about 855.6120616261. The cubic root of 732072 is about 90.1262425904.

It can be divided in two parts, 73 and 2072, that added together give a triangular number (2145 = T₆₅).

The spelling of 732072 in words is "seven hundred thirty-two thousand, seventy-two".