364867272 has 288 divisors, whose sum is σ = 1288035840. Its totient is φ = 91238400.

The previous prime is 364867271. The next prime is 364867273. The reversal of 364867272 is 272768463.

364867272 is a `hidden beast` number, since 36 + 486 + 72 + 72 = 666.

364867272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (364867271) and next prime (364867273).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364867271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890408 + ... + 1890600.

Almost surely, 2^364867272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364867272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644017920).

364867272 is an abundant number, since it is smaller than the sum of its proper divisors (923168568).

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

364867272 is a wasteful number, since it uses less digits than its factorization.

364867272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 364867272 is about 19101.4992081774. The cubic root of 364867272 is about 714.5703138198.

The spelling of 364867272 in words is "three hundred sixty-four million, eight hundred sixty-seven thousand, two hundred seventy-two".