72101348753 has 24 divisors (see below), whose sum is σ = 88848698472. Its totient is φ = 58138289664.

The previous prime is 72101348741. The next prime is 72101348801. The reversal of 72101348753 is 35784310127.

It can be written as a sum of positive squares in 4 ways, for example, as 44008907089 + 28092441664 = 209783^2 + 167608^2 .

It is not a de Polignac number, because 72101348753 - 2¹⁰ = 72101347729 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 72101348753.

It is not an unprimeable number, because it can be changed into a prime (72101348153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844075 + ... + 1882767.

It is an arithmetic number, because the mean of its divisors is an integer number (3702029103).

Almost surely, 2^72101348753 is an apocalyptic number.

It is an amenable number.

72101348753 is a deficient number, since it is larger than the sum of its proper divisors (16747349719).

72101348753 is a wasteful number, since it uses less digits than its factorization.

72101348753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40961 (or 40954 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 72101348753 in words is "seventy-two billion, one hundred one million, three hundred forty-eight thousand, seven hundred fifty-three".