72783 has 6 divisors (see below), whose sum is σ = 105144. Its totient is φ = 48516.

The previous prime is 72767. The next prime is 72797. The reversal of 72783 is 38727.

It is not a de Polignac number, because 72783 - 2⁴ = 72767 is a prime.

It is a d-powerful number, because it can be written as 7³ + 2¹⁵ + 7³ + 8⁵ + 3⁸ .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4035 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (17524).

2⁷²⁷⁸³ is an apocalyptic number.

72783 is a deficient number, since it is larger than the sum of its proper divisors (32361).

72783 is a wasteful number, since it uses less digits than its factorization.

72783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8090 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72783 is about 269.7832463293. The cubic root of 72783 is about 41.7519391452.

The spelling of 72783 in words is "seventy-two thousand, seven hundred eighty-three".