727552 has 60 divisors (see below), whose sum is σ = 1749330. Its totient is φ = 301056.

The previous prime is 727541. The next prime is 727561. The reversal of 727552 is 255727.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 112896 = 784^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 727552.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25074 + ... + 25102.

2⁷²⁷⁵⁵² 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 727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874665).

727552 is an abundant number, since it is smaller than the sum of its proper divisors (1021778).

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

727552 is an equidigital number, since it uses as much as digits as its factorization.

727552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 727552 is about 852.9665878568. The cubic root of 727552 is about 89.9403720259.

The spelling of 727552 in words is "seven hundred twenty-seven thousand, five hundred fifty-two".