727638 has 16 divisors (see below), whose sum is σ = 1465776. Its totient is φ = 240800.

The previous prime is 727633. The next prime is 727667. The reversal of 727638 is 836727.

727638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 727599 and 727608.

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 727638.

It is not an unprimeable number, because it can be changed into a prime (727633) 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, 688 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (91611).

2⁷²⁷⁶³⁸ is an apocalyptic number.

727638 is an abundant number, since it is smaller than the sum of its proper divisors (738138).

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

727638 is a wasteful number, since it uses less digits than its factorization.

727638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879.

The product of its digits is 14112, while the sum is 33.

The square root of 727638 is about 853.0169986583. The cubic root of 727638 is about 89.9439156751.

It can be divided in two parts, 72763 and 8, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 727638 in words is "seven hundred twenty-seven thousand, six hundred thirty-eight".