72747 has 12 divisors (see below), whose sum is σ = 107640. Its totient is φ = 47328.

The previous prime is 72739. The next prime is 72763. The reversal of 72747 is 74727.

It is a happy number.

It is not a de Polignac number, because 72747 - 2³ = 72739 is a prime.

It is a d-powerful number, because it can be written as 7⁴ + 2³ + 7⁴ + 4⁸ + 7⁴ .

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

It is a self number, because there is not a number n which added to its sum of digits gives 72747.

It is not an unprimeable number, because it can be changed into a prime (72707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (8970).

2⁷²⁷⁴⁷ is an apocalyptic number.

72747 is a deficient number, since it is larger than the sum of its proper divisors (34893).

72747 is a wasteful number, since it uses less digits than its factorization.

72747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 72747 is about 269.7165178479. The cubic root of 72747 is about 41.7450542147.

The spelling of 72747 in words is "seventy-two thousand, seven hundred forty-seven", and thus it is an iban number.