4072365 has 48 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 1866240.

The previous prime is 4072337. The next prime is 4072399. The reversal of 4072365 is 5632704.

It is a happy number.

It is not a de Polignac number, because 4072365 - 2⁶ = 4072301 is a prime.

4072365 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9189 + ... + 9621.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^4072365 is an apocalyptic number.

4072365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4072365 is a deficient number, since it is larger than the sum of its proper divisors (4052115).

4072365 is a wasteful number, since it uses less digits than its factorization.

4072365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4072365 is about 2018.0101585473. The cubic root of 4072365 is about 159.6916587714.

It can be divided in two parts, 407 and 2365, that added together give a palindrome (2772).

The spelling of 4072365 in words is "four million, seventy-two thousand, three hundred sixty-five".