365089872 has 80 divisors (see below), whose sum is σ = 1080680832. Its totient is φ = 104040960.

The previous prime is 365089867. The next prime is 365089873. The reversal of 365089872 is 278980563.

It is a super-2 number, since 2×365089872² = 266581229273952768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365089873) 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, 153718 + ... + 156074.

Almost surely, 2^365089872 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 365089872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540340416).

365089872 is an abundant number, since it is smaller than the sum of its proper divisors (715590960).

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

365089872 is a wasteful number, since it uses less digits than its factorization.

365089872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 365089872 is about 19107.3250875155. The cubic root of 365089872 is about 714.7156004556.

The spelling of 365089872 in words is "three hundred sixty-five million, eighty-nine thousand, eight hundred seventy-two".