36311072 has 48 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 15226368.

The previous prime is 36311057. The next prime is 36311083. The reversal of 36311072 is 27011363.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8804 + ... + 12252.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^36311072 is an apocalyptic number.

36311072 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 36311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

36311072 is an abundant number, since it is smaller than the sum of its proper divisors (47151328).

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

36311072 is a wasteful number, since it uses less digits than its factorization.

36311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 36311072 is about 6025.8669085867. The cubic root of 36311072 is about 331.1410515327.

The spelling of 36311072 in words is "thirty-six million, three hundred eleven thousand, seventy-two".