369628272 has 240 divisors, whose sum is σ = 1182924288. Its totient is φ = 111041280.

The previous prime is 369628271. The next prime is 369628277. The reversal of 369628272 is 272826963.

369628272 is a `hidden beast` number, since 369 + 6 + 282 + 7 + 2 = 666.

Its product of digits (435456) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369628271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3588573 + ... + 3588675.

Almost surely, 2^369628272 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 369628272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591462144).

369628272 is an abundant number, since it is smaller than the sum of its proper divisors (813296016).

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

369628272 is a wasteful number, since it uses less digits than its factorization.

369628272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 369628272 is about 19225.7190242654. The cubic root of 369628272 is about 717.6649352319.

The spelling of 369628272 in words is "three hundred sixty-nine million, six hundred twenty-eight thousand, two hundred seventy-two".