72420567407 has 8 divisors (see below), whose sum is σ = 72717668352. Its totient is φ = 72123535000.

The previous prime is 72420567403. The next prime is 72420567413. The reversal of 72420567407 is 70476502427.

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

It is a cyclic number.

It is not a de Polignac number, because 72420567407 - 2² = 72420567403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420567403) 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 7 ways as a sum of consecutive naturals, for example, 4038932 + ... + 4056822.

It is an arithmetic number, because the mean of its divisors is an integer number (9089708544).

Almost surely, 2^72420567407 is an apocalyptic number.

72420567407 is a deficient number, since it is larger than the sum of its proper divisors (297100945).

72420567407 is a wasteful number, since it uses less digits than its factorization.

72420567407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269.

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 72420567407 in words is "seventy-two billion, four hundred twenty million, five hundred sixty-seven thousand, four hundred seven".