72360036 has 72 divisors (see below), whose sum is σ = 211184064. Its totient is φ = 20462400.

The previous prime is 72360023. The next prime is 72360053. The reversal of 72360036 is 63006327.

72360036 is a `hidden beast` number, since 7 + 23 + 600 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72359991 and 72360009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24031 + ... + 26873.

It is an arithmetic number, because the mean of its divisors is an integer number (2933112).

Almost surely, 2^72360036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72360036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105592032).

72360036 is an abundant number, since it is smaller than the sum of its proper divisors (138824028).

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

72360036 is a wasteful number, since it uses less digits than its factorization.

72360036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 72360036 is about 8506.4702432913. The cubic root of 72360036 is about 416.7090425879.

The spelling of 72360036 in words is "seventy-two million, three hundred sixty thousand, thirty-six".