72185715090 has 24 divisors (see below), whose sum is σ = 187682859468. Its totient is φ = 19249524000.

The previous prime is 72185715079. The next prime is 72185715131. The reversal of 72185715090 is 9051758127.

72185715090 is a `hidden beast` number, since 7 + 21 + 8 + 571 + 50 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71242549569 + 943165521 = 266913^2 + 30711^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 401031661 + ... + 401031840.

Almost surely, 2^72185715090 is an apocalyptic number.

72185715090 is an abundant number, since it is smaller than the sum of its proper divisors (115497144378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72185715090 is a wasteful number, since it uses less digits than its factorization.

72185715090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802063514 (or 802063511 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 72185715090 in words is "seventy-two billion, one hundred eighty-five million, seven hundred fifteen thousand, ninety".