72801 has 6 divisors (see below), whose sum is σ = 105170. Its totient is φ = 48528.

The previous prime is 72797. The next prime is 72817. The reversal of 72801 is 10827.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 32400 = 201^2 + 180^2 .

It is not a de Polignac number, because 72801 - 2² = 72797 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4036 + ... + 4053.

2⁷²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

72801 is a deficient number, since it is larger than the sum of its proper divisors (32369).

72801 is a wasteful number, since it uses less digits than its factorization.

72801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72801 is about 269.8166043816. The cubic root of 72801 is about 41.7553807592.

The spelling of 72801 in words is "seventy-two thousand, eight hundred one".