72104089 has 8 divisors (see below), whose sum is σ = 76520808. Its totient is φ = 67706880.

The previous prime is 72104051. The next prime is 72104093. The reversal of 72104089 is 98040127.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 22992025 = 7008^2 + 4795^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72104089 - 2⁷ = 72103961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72104089.

It is not an unprimeable number, because it can be changed into a prime (72104029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3129 + ... + 12409.

It is an arithmetic number, because the mean of its divisors is an integer number (9565101).

Almost surely, 2^72104089 is an apocalyptic number.

It is an amenable number.

72104089 is a deficient number, since it is larger than the sum of its proper divisors (4416719).

72104089 is a wasteful number, since it uses less digits than its factorization.

72104089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9755.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 72104089 is about 8491.4126622135. The cubic root of 72104089 is about 416.2171438624.

The spelling of 72104089 in words is "seventy-two million, one hundred four thousand, eighty-nine".