365732672 has 56 divisors (see below), whose sum is σ = 768949440. Its totient is φ = 172108800.

The previous prime is 365732671. The next prime is 365732693. The reversal of 365732672 is 276237563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365732671) 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, 202172 + ... + 203972.

It is an arithmetic number, because the mean of its divisors is an integer number (13731240).

Almost surely, 2^365732672 is an apocalyptic number.

365732672 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 365732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384474720).

365732672 is an abundant number, since it is smaller than the sum of its proper divisors (403216768).

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

365732672 is a wasteful number, since it uses less digits than its factorization.

365732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 365732672 is about 19124.1384642551. The cubic root of 365732672 is about 715.1348121432.

The spelling of 365732672 in words is "three hundred sixty-five million, seven hundred thirty-two thousand, six hundred seventy-two".