36465672 has 64 divisors (see below), whose sum is σ = 98242560. Its totient is φ = 11246400.

The previous prime is 36465647. The next prime is 36465679. The reversal of 36465672 is 27656463.

It is a super-3 number, since 3×36465672³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36465672.

It is not an unprimeable number, because it can be changed into a prime (36465679) 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, 16047 + ... + 18177.

It is an arithmetic number, because the mean of its divisors is an integer number (1535040).

Almost surely, 2^36465672 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 36465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121280).

36465672 is an abundant number, since it is smaller than the sum of its proper divisors (61776888).

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

36465672 is a wasteful number, since it uses less digits than its factorization.

36465672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 36465672 is about 6038.6813130020. The cubic root of 36465672 is about 331.6103475269.

The spelling of 36465672 in words is "thirty-six million, four hundred sixty-five thousand, six hundred seventy-two".