72005801 has 16 divisors (see below), whose sum is σ = 90393600. Its totient is φ = 55926288.

The previous prime is 72005797. The next prime is 72005807. The reversal of 72005801 is 10850027.

It is a cyclic number.

It is not a de Polignac number, because 72005801 - 2² = 72005797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72005807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8711 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (5649600).

Almost surely, 2^72005801 is an apocalyptic number.

It is an amenable number.

72005801 is a deficient number, since it is larger than the sum of its proper divisors (18387799).

72005801 is a wasteful number, since it uses less digits than its factorization.

72005801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 72005801 is about 8485.6231945568. The cubic root of 72005801 is about 416.0279370569.

Adding to 72005801 its reverse (10850027), we get a palindrome (82855828).

The spelling of 72005801 in words is "seventy-two million, five thousand, eight hundred one".