72177472505 has 16 divisors (see below), whose sum is σ = 87274932624. Its totient is φ = 57300956160.

The previous prime is 72177472447. The next prime is 72177472529. The reversal of 72177472505 is 50527477127.

It can be written as a sum of positive squares in 8 ways, for example, as 1206381289 + 70971091216 = 34733^2 + 266404^2 .

It is not a de Polignac number, because 72177472505 - 2⁸ = 72177472249 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 72177472505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2190029 + ... + 2222741.

It is an arithmetic number, because the mean of its divisors is an integer number (5454683289).

Almost surely, 2^72177472505 is an apocalyptic number.

It is an amenable number.

72177472505 is a deficient number, since it is larger than the sum of its proper divisors (15097460119).

72177472505 is a wasteful number, since it uses less digits than its factorization.

72177472505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36076.

The product of its (nonzero) digits is 960400, while the sum is 47.

The spelling of 72177472505 in words is "seventy-two billion, one hundred seventy-seven million, four hundred seventy-two thousand, five hundred five".