365362272 has 192 divisors, whose sum is σ = 1195084800. Its totient is φ = 107619840.

The previous prime is 365362253. The next prime is 365362273. The reversal of 365362272 is 272263563.

It is a happy number.

365362272 is a `hidden beast` number, since 36 + 536 + 22 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365362273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351129 + ... + 352167.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^365362272 is an apocalyptic number.

365362272 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 365362272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

365362272 is an abundant number, since it is smaller than the sum of its proper divisors (829722528).

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

365362272 is a wasteful number, since it uses less digits than its factorization.

365362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 365362272 is about 19114.4519147163. The cubic root of 365362272 is about 714.8933102419.

The spelling of 365362272 in words is "three hundred sixty-five million, three hundred sixty-two thousand, two hundred seventy-two".