72400407234 has 8 divisors (see below), whose sum is σ = 144800814480. Its totient is φ = 24133469076.

The previous prime is 72400407103. The next prime is 72400407253. The reversal of 72400407234 is 43270400427.

It is a sphenic number, since it is the product of 3 distinct primes.

72400407234 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 72400407195 and 72400407204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6033367264 + ... + 6033367275.

It is an arithmetic number, because the mean of its divisors is an integer number (18100101810).

Almost surely, 2^72400407234 is an apocalyptic number.

72400407234 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72400407234 is a wasteful number, since it uses less digits than its factorization.

72400407234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066734544.

The product of its (nonzero) digits is 37632, while the sum is 33.

The spelling of 72400407234 in words is "seventy-two billion, four hundred million, four hundred seven thousand, two hundred thirty-four".