36073872 has 60 divisors (see below), whose sum is σ = 102490960. Its totient is φ = 11841984.

The previous prime is 36073859. The next prime is 36073879. The reversal of 36073872 is 27837063.

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

It is not an unprimeable number, because it can be changed into a prime (36073879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7779 + ... + 11517.

Almost surely, 2^36073872 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 36073872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51245480).

36073872 is an abundant number, since it is smaller than the sum of its proper divisors (66417088).

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

36073872 is a wasteful number, since it uses less digits than its factorization.

36073872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36073872 is about 6006.1528452080. The cubic root of 36073872 is about 330.4184224065.

The spelling of 36073872 in words is "thirty-six million, seventy-three thousand, eight hundred seventy-two".