368019072 has 64 divisors (see below), whose sum is σ = 1086177600. Its totient is φ = 122671872.

The previous prime is 368019059. The next prime is 368019079. The reversal of 368019072 is 270910863.

It is a tau number, because it is divible by the number of its divisors (64).

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 (368019079) 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, 49788 + ... + 56699.

It is an arithmetic number, because the mean of its divisors is an integer number (16971525).

Almost surely, 2^368019072 is an apocalyptic number.

368019072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

368019072 is an abundant number, since it is smaller than the sum of its proper divisors (718158528).

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

368019072 is a wasteful number, since it uses less digits than its factorization.

368019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106510 (or 106492 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 368019072 is about 19183.8231851735. The cubic root of 368019072 is about 716.6219536794.

It can be divided in two parts, 36 and 8019072, that added together give a palindrome (8019108).

The spelling of 368019072 in words is "three hundred sixty-eight million, nineteen thousand, seventy-two".