36933072 has 60 divisors (see below), whose sum is σ = 104889120. Its totient is φ = 11190080.

The previous prime is 36933049. The next prime is 36933079. The reversal of 36933072 is 27033963.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36933079) 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, 2629 + ... + 8987.

It is an arithmetic number, because the mean of its divisors is an integer number (1748152).

Almost surely, 2^36933072 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 36933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52444560).

36933072 is an abundant number, since it is smaller than the sum of its proper divisors (67956048).

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

36933072 is a wasteful number, since it uses less digits than its factorization.

36933072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 36933072 is about 6077.2585924905. The cubic root of 36933072 is about 333.0211459306.

The spelling of 36933072 in words is "thirty-six million, nine hundred thirty-three thousand, seventy-two".