72477458905 has 8 divisors (see below), whose sum is σ = 86976383112. Its totient is φ = 57979678848.

The previous prime is 72477458873. The next prime is 72477458927. The reversal of 72477458905 is 50985477427.

It can be written as a sum of positive squares in 4 ways, for example, as 12564616464 + 59912842441 = 112092^2 + 244771^2 .

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 72477458905 - 2⁵ = 72477458873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72477458905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139884 + ... + 405613.

It is an arithmetic number, because the mean of its divisors is an integer number (10872047889).

Almost surely, 2^72477458905 is an apocalyptic number.

It is an amenable number.

72477458905 is a deficient number, since it is larger than the sum of its proper divisors (14498924207).

72477458905 is a wasteful number, since it uses less digits than its factorization.

72477458905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572075.

The product of its (nonzero) digits is 19756800, while the sum is 58.

The spelling of 72477458905 in words is "seventy-two billion, four hundred seventy-seven million, four hundred fifty-eight thousand, nine hundred five".