72101348775 has 48 divisors (see below), whose sum is σ = 132479576320. Its totient is φ = 38446293600.

The previous prime is 72101348741. The next prime is 72101348801. The reversal of 72101348775 is 57784310127.

It is not a de Polignac number, because 72101348775 - 2⁷ = 72101348647 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72101348775.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5206110 + ... + 5219940.

Almost surely, 2^72101348775 is an apocalyptic number.

72101348775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72101348775 is a deficient number, since it is larger than the sum of its proper divisors (60378227545).

72101348775 is a wasteful number, since it uses less digits than its factorization.

72101348775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21573 (or 21562 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72101348775 in words is "seventy-two billion, one hundred one million, three hundred forty-eight thousand, seven hundred seventy-five".