72304401 has 32 divisors (see below), whose sum is σ = 108017280. Its totient is φ = 42729984.

The previous prime is 72304339. The next prime is 72304409. The reversal of 72304401 is 10440327.

It is not a de Polignac number, because 72304401 - 2⁷ = 72304273 is a prime.

It is a super-3 number, since 3×72304401³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72304409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128146 + ... + 128708.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2^72304401 is an apocalyptic number.

It is an amenable number.

72304401 is a deficient number, since it is larger than the sum of its proper divisors (35712879).

72304401 is a wasteful number, since it uses less digits than its factorization.

72304401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 72304401 is about 8503.1994566751. The cubic root of 72304401 is about 416.6022177295.

Adding to 72304401 its reverse (10440327), we get a palindrome (82744728).

The spelling of 72304401 in words is "seventy-two million, three hundred four thousand, four hundred one".