36075264 has 72 divisors (see below), whose sum is σ = 97130880. Its totient is φ = 11885568.

The previous prime is 36075253. The next prime is 36075269. The reversal of 36075264 is 46257063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36075269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81957 + ... + 82395.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^36075264 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 36075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48565440).

36075264 is an abundant number, since it is smaller than the sum of its proper divisors (61055616).

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

36075264 is a wasteful number, since it uses less digits than its factorization.

36075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 36075264 is about 6006.2687252570. The cubic root of 36075264 is about 330.4226723572.

The spelling of 36075264 in words is "thirty-six million, seventy-five thousand, two hundred sixty-four".