72787 has 8 divisors (see below), whose sum is σ = 85680. Its totient is φ = 60960.

The previous prime is 72767. The next prime is 72797. The reversal of 72787 is 78727.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72787 is a prime.

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

It is a Duffinian number.

72787 is a lucky number.

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 7 ways as a sum of consecutive naturals, for example, 112 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2⁷²⁷⁸⁷ is an apocalyptic number.

72787 is a deficient number, since it is larger than the sum of its proper divisors (12893).

72787 is a wasteful number, since it uses less digits than its factorization.

72787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533.

The product of its digits is 5488, while the sum is 31.

The square root of 72787 is about 269.7906595863. The cubic root of 72787 is about 41.7527039974.

The spelling of 72787 in words is "seventy-two thousand, seven hundred eighty-seven".