363670272 has 108 divisors (see below), whose sum is σ = 1198397200. Its totient is φ = 103901184.

The previous prime is 363670267. The next prime is 363670297. The reversal of 363670272 is 272076363.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4854 + ... + 27402.

Almost surely, 2^363670272 is an apocalyptic number.

363670272 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 363670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599198600).

363670272 is an abundant number, since it is smaller than the sum of its proper divisors (834726928).

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

363670272 is a wasteful number, since it uses less digits than its factorization.

363670272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22578 (or 22561 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 363670272 is about 19070.1408489817. The cubic root of 363670272 is about 713.7880405602.

The spelling of 363670272 in words is "three hundred sixty-three million, six hundred seventy thousand, two hundred seventy-two".