72806401 has 4 divisors (see below), whose sum is σ = 72864432. Its totient is φ = 72748372.

The previous prime is 72806389. The next prime is 72806411. The reversal of 72806401 is 10460827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72806401 - 2⁷ = 72806273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72806401.

It is not an unprimeable number, because it can be changed into a prime (72806411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27091 + ... + 29656.

It is an arithmetic number, because the mean of its divisors is an integer number (18216108).

Almost surely, 2^72806401 is an apocalyptic number.

It is an amenable number.

72806401 is a deficient number, since it is larger than the sum of its proper divisors (58031).

72806401 is a wasteful number, since it uses less digits than its factorization.

72806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58030.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72806401 is about 8532.6666992213. Note that the first 4 decimals coincide. The cubic root of 72806401 is about 417.5641332389.

The spelling of 72806401 in words is "seventy-two million, eight hundred six thousand, four hundred one".