72900095829 has 16 divisors (see below), whose sum is σ = 106109650944. Its totient is φ = 44151398000.

The previous prime is 72900095791. The next prime is 72900095867. The reversal of 72900095829 is 92859000927.

It is an interprime number because it is at equal distance from previous prime (72900095791) and next prime (72900095867).

It is a cyclic number.

It is not a de Polignac number, because 72900095829 - 2⁸ = 72900095573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900095329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713349 + ... + 809114.

It is an arithmetic number, because the mean of its divisors is an integer number (6631853184).

Almost surely, 2^72900095829 is an apocalyptic number.

It is an amenable number.

72900095829 is a deficient number, since it is larger than the sum of its proper divisors (33209555115).

72900095829 is a wasteful number, since it uses less digits than its factorization.

72900095829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523928.

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 72900095829 in words is "seventy-two billion, nine hundred million, ninety-five thousand, eight hundred twenty-nine".