727536 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 231616.

The previous prime is 727501. The next prime is 727541. The reversal of 727536 is 635727.

727536 = 135² + 136² + ... + 166².

727536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

727536 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 7 ways as a sum of consecutive naturals, for example, 775 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁷²⁷⁵³⁶ 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 727536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

727536 is an abundant number, since it is smaller than the sum of its proper divisors (1236624).

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

727536 is a wasteful number, since it uses less digits than its factorization.

727536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 727536 is about 852.9572087743. The cubic root of 727536 is about 89.9397127115.

Subtracting from 727536 its reverse (635727), we obtain a square (91809 = 303²).

The spelling of 727536 in words is "seven hundred twenty-seven thousand, five hundred thirty-six".