728772 has 24 divisors (see below), whose sum is σ = 1855392. Its totient is φ = 220800.

The previous prime is 728771. The next prime is 728809. The reversal of 728772 is 277827.

It is a happy number.

728772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728772² = 1062217255968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (728771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2629 + ... + 2892.

It is an arithmetic number, because the mean of its divisors is an integer number (77308).

2⁷²⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

728772 is an abundant number, since it is smaller than the sum of its proper divisors (1126620).

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

728772 is a wasteful number, since it uses less digits than its factorization.

728772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5537 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 728772 is about 853.6814394140. The cubic root of 728772 is about 89.9906163056.

The spelling of 728772 in words is "seven hundred twenty-eight thousand, seven hundred seventy-two".