72786636 has 144 divisors (see below), whose sum is σ = 212808960. Its totient is φ = 20805120.

The previous prime is 72786631. The next prime is 72786641. The reversal of 72786636 is 63668727.

72786636 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 6 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (72786631) and next prime (72786641).

It is a junction number, because it is equal to n+sod(n) for n = 72786591 and 72786600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420646 + ... + 420818.

It is an arithmetic number, because the mean of its divisors is an integer number (1477840).

Almost surely, 2^72786636 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 72786636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106404480).

72786636 is an abundant number, since it is smaller than the sum of its proper divisors (140022324).

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

72786636 is a wasteful number, since it uses less digits than its factorization.

72786636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 72786636 is about 8531.5084246574. The cubic root of 72786636 is about 417.5263439698.

The spelling of 72786636 in words is "seventy-two million, seven hundred eighty-six thousand, six hundred thirty-six".