72394826101 has 32 divisors (see below), whose sum is σ = 82430853120. Its totient is φ = 63104529600.

The previous prime is 72394826089. The next prime is 72394826117. The reversal of 72394826101 is 10162849327.

It is not a de Polignac number, because 72394826101 - 2⁵ = 72394826069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72394827101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34293036 + ... + 34295146.

It is an arithmetic number, because the mean of its divisors is an integer number (2575964160).

Almost surely, 2^72394826101 is an apocalyptic number.

It is an amenable number.

72394826101 is a deficient number, since it is larger than the sum of its proper divisors (10036027019).

72394826101 is a wasteful number, since it uses less digits than its factorization.

72394826101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 72394826101 in words is "seventy-two billion, three hundred ninety-four million, eight hundred twenty-six thousand, one hundred one".