36275072 has 32 divisors (see below), whose sum is σ = 72742320. Its totient is φ = 18018304.

The previous prime is 36275069. The next prime is 36275077. The reversal of 36275072 is 27057263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36275077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20528 + ... + 22224.

Almost surely, 2^36275072 is an apocalyptic number.

36275072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36371160).

36275072 is an abundant number, since it is smaller than the sum of its proper divisors (36467248).

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

36275072 is a wasteful number, since it uses less digits than its factorization.

36275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 36275072 is about 6022.8790457720. The cubic root of 36275072 is about 331.0315806099.

The spelling of 36275072 in words is "thirty-six million, two hundred seventy-five thousand, seventy-two".