72682401 has 12 divisors (see below), whose sum is σ = 106521296. Its totient is φ = 44049720.

The previous prime is 72682397. The next prime is 72682433. The reversal of 72682401 is 10428627.

It is not a de Polignac number, because 72682401 - 2² = 72682397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72682301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99751 + ... + 100476.

Almost surely, 2^72682401 is an apocalyptic number.

It is an amenable number.

72682401 is a deficient number, since it is larger than the sum of its proper divisors (33838895).

72682401 is a wasteful number, since it uses less digits than its factorization.

72682401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200252 (or 200241 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72682401 is about 8525.3974100918. The cubic root of 72682401 is about 417.3269408363.

It can be divided in two parts, 7268 and 2401, that added together give a palindrome (9669).

The spelling of 72682401 in words is "seventy-two million, six hundred eighty-two thousand, four hundred one".