366291072 has 320 divisors, whose sum is σ = 1283568000. Its totient is φ = 103638528.

The previous prime is 366291017. The next prime is 366291073. The reversal of 366291072 is 270192663.

366291072 is a `hidden beast` number, since 366 + 291 + 0 + 7 + 2 = 666.

366291072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (366291073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3556173 + ... + 3556275.

It is an arithmetic number, because the mean of its divisors is an integer number (4011150).

Almost surely, 2^366291072 is an apocalyptic number.

366291072 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 366291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641784000).

366291072 is an abundant number, since it is smaller than the sum of its proper divisors (917276928).

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

366291072 is an equidigital number, since it uses as much as digits as its factorization.

366291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 366291072 is about 19138.7322464159. The cubic root of 366291072 is about 715.4985825955.

The spelling of 366291072 in words is "three hundred sixty-six million, two hundred ninety-one thousand, seventy-two".