72761 has 8 divisors (see below), whose sum is σ = 81480. Its totient is φ = 64512.

The previous prime is 72739. The next prime is 72763. The reversal of 72761 is 16727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 400 + 72361 = 20^2 + 269^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 72761 - 2¹⁴ = 56377 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72763) 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, 281 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (10185).

2⁷²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

72761 is a deficient number, since it is larger than the sum of its proper divisors (8719).

72761 is a wasteful number, since it uses less digits than its factorization.

72761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its digits is 588, while the sum is 23.

The square root of 72761 is about 269.7424697744. The cubic root of 72761 is about 41.7477319575.

The spelling of 72761 in words is "seventy-two thousand, seven hundred sixty-one".