72410824433 has 16 divisors (see below), whose sum is σ = 76005160704. Its totient is φ = 68904835200.

The previous prime is 72410824411. The next prime is 72410824487. The reversal of 72410824433 is 33442801427.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72410824433 - 2¹² = 72410820337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72410874433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2508941 + ... + 2537637.

It is an arithmetic number, because the mean of its divisors is an integer number (4750322544).

Almost surely, 2^72410824433 is an apocalyptic number.

It is an amenable number.

72410824433 is a deficient number, since it is larger than the sum of its proper divisors (3594336271).

72410824433 is a wasteful number, since it uses less digits than its factorization.

72410824433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232.

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 72410824433 in words is "seventy-two billion, four hundred ten million, eight hundred twenty-four thousand, four hundred thirty-three".