36885072 has 80 divisors (see below), whose sum is σ = 109770752. Its totient is φ = 10454400.

The previous prime is 36885049. The next prime is 36885113. The reversal of 36885072 is 27058863.

It is a self number, because there is not a number n which added to its sum of digits gives 36885072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50373 + ... + 51099.

Almost surely, 2^36885072 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 36885072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885376).

36885072 is an abundant number, since it is smaller than the sum of its proper divisors (72885680).

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

36885072 is a wasteful number, since it uses less digits than its factorization.

36885072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 36885072 is about 6073.3081594795. The cubic root of 36885072 is about 332.8768132760.

The spelling of 36885072 in words is "thirty-six million, eight hundred eighty-five thousand, seventy-two".