364047072 has 48 divisors (see below), whose sum is σ = 957236112. Its totient is φ = 121144320.

The previous prime is 364047071. The next prime is 364047091. The reversal of 364047072 is 270740463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364047071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60588 + ... + 66324.

It is an arithmetic number, because the mean of its divisors is an integer number (19942419).

Almost surely, 2^364047072 is an apocalyptic number.

364047072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

364047072 is an abundant number, since it is smaller than the sum of its proper divisors (593189040).

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

364047072 is a wasteful number, since it uses less digits than its factorization.

364047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 364047072 is about 19080.0176100548. The cubic root of 364047072 is about 714.0344748711.

The spelling of 364047072 in words is "three hundred sixty-four million, forty-seven thousand, seventy-two".