72561096 has 40 divisors (see below), whose sum is σ = 203240070. Its totient is φ = 24186816.

The previous prime is 72561079. The next prime is 72561109. The reversal of 72561096 is 69016527.

72561096 is a `hidden beast` number, since 7 + 2 + 561 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72488196 + 72900 = 8514^2 + 270^2 .

It is a super-2 number, since 2×72561096² = 10530225305442432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72561096.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 55341 + ... + 56636.

Almost surely, 2^72561096 is an apocalyptic number.

It is an amenable number.

72561096 is an abundant number, since it is smaller than the sum of its proper divisors (130678974).

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

72561096 is a wasteful number, since it uses less digits than its factorization.

72561096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111995 (or 111982 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 72561096 is about 8518.2801080969. The cubic root of 72561096 is about 417.0946423556.

The spelling of 72561096 in words is "seventy-two million, five hundred sixty-one thousand, ninety-six".