365067072 has 42 divisors (see below), whose sum is σ = 1046400498. Its totient is φ = 121688832.

The previous prime is 365067037. The next prime is 365067077. The reversal of 365067072 is 270760563.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 340623936 + 24443136 = 18456^2 + 4944^2 .

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 (365067077) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 316323 + ... + 317474.

Almost surely, 2^365067072 is an apocalyptic number.

365067072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

365067072 is an abundant number, since it is smaller than the sum of its proper divisors (681333426).

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

365067072 is a wasteful number, since it uses less digits than its factorization.

365067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633815 (or 633802 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 365067072 is about 19106.7284483765. The cubic root of 365067072 is about 714.7007220597.

The spelling of 365067072 in words is "three hundred sixty-five million, sixty-seven thousand, seventy-two".