36073072 has 80 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 14766336.

The previous prime is 36073067. The next prime is 36073073. The reversal of 36073072 is 27037063.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 36073072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36073073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350173 + ... + 350275.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^36073072 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 36073072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

36073072 is an abundant number, since it is smaller than the sum of its proper divisors (47493008).

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

36073072 is a wasteful number, since it uses less digits than its factorization.

36073072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 36073072 is about 6006.0862464670. The cubic root of 36073072 is about 330.4159798567.

The spelling of 36073072 in words is "thirty-six million, seventy-three thousand, seventy-two".