365436672 has 72 divisors (see below), whose sum is σ = 981904896. Its totient is φ = 120646656.

The previous prime is 365436667. The next prime is 365436707. The reversal of 365436672 is 276634563.

It is a super-2 number, since 2×365436672² = 267087922484871168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79953 + ... + 84399.

It is an arithmetic number, because the mean of its divisors is an integer number (13637568).

Almost surely, 2^365436672 is an apocalyptic number.

365436672 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 365436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490952448).

365436672 is an abundant number, since it is smaller than the sum of its proper divisors (616468224).

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

365436672 is a wasteful number, since it uses less digits than its factorization.

365436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4559 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 365436672 is about 19116.3979870686. The cubic root of 365436672 is about 714.9418323586.

The spelling of 365436672 in words is "three hundred sixty-five million, four hundred thirty-six thousand, six hundred seventy-two".