365011072 has 48 divisors (see below), whose sum is σ = 739471950. Its totient is φ = 179446784.

The previous prime is 365011067. The next prime is 365011079. The reversal of 365011072 is 270110563.

It can be written as a sum of positive squares in only one way, i.e., 346555456 + 18455616 = 18616^2 + 4296^2 .

It is not an unprimeable number, because it can be changed into a prime (365011079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2039079 + ... + 2039257.

Almost surely, 2^365011072 is an apocalyptic number.

365011072 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 365011072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369735975).

365011072 is an abundant number, since it is smaller than the sum of its proper divisors (374460878).

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

365011072 is an frugal number, since it uses more digits than its factorization.

365011072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 365011072 is about 19105.2629398289. The cubic root of 365011072 is about 714.6641760018.

It can be divided in two parts, 36501 and 1072, that added together give a palindrome (37573).

The spelling of 365011072 in words is "three hundred sixty-five million, eleven thousand, seventy-two".