72410338400 has 72 divisors (see below), whose sum is σ = 180107159904. Its totient is φ = 28417625600.

The previous prime is 72410338387. The next prime is 72410338411. The reversal of 72410338400 is 483301427.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811496 + ... + 896295.

It is an arithmetic number, because the mean of its divisors is an integer number (2501488332).

Almost surely, 2^72410338400 is an apocalyptic number.

It is an amenable number.

72410338400 is an abundant number, since it is smaller than the sum of its proper divisors (107696821504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72410338400 is a wasteful number, since it uses less digits than its factorization.

72410338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707864 (or 1707851 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 72410338400 its reverse (483301427), we get a palindrome (72893639827).

The spelling of 72410338400 in words is "seventy-two billion, four hundred ten million, three hundred thirty-eight thousand, four hundred".