364743072 has 36 divisors (see below), whose sum is σ = 1037238930. Its totient is φ = 121580928.

The previous prime is 364743059. The next prime is 364743073. The reversal of 364743072 is 270347463.

It is a happy number.

364743072 is a `hidden beast` number, since 3 + 647 + 4 + 3 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340181136 + 24561936 = 18444^2 + 4956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (364743073) 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, 632947 + ... + 633522.

Almost surely, 2^364743072 is an apocalyptic number.

364743072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

364743072 is an abundant number, since it is smaller than the sum of its proper divisors (672495858).

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

364743072 is a wasteful number, since it uses less digits than its factorization.

364743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266485 (or 1266474 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 364743072 is about 19098.2478777505. The cubic root of 364743072 is about 714.4892252416.

The spelling of 364743072 in words is "three hundred sixty-four million, seven hundred forty-three thousand, seventy-two".