361600272 has 90 divisors (see below), whose sum is σ = 1112393646. Its totient is φ = 109570560.

The previous prime is 361600247. The next prime is 361600277. The reversal of 361600272 is 272006163.

It is a happy number.

361600272 is a `hidden beast` number, since 36 + 1 + 600 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 281031696 + 80568576 = 16764^2 + 8976^2 .

It is not an unprimeable number, because it can be changed into a prime (361600277) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7048 + ... + 27800.

Almost surely, 2^361600272 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 361600272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556196823).

361600272 is an abundant number, since it is smaller than the sum of its proper divisors (750793374).

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

361600272 is a wasteful number, since it uses less digits than its factorization.

361600272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20789 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 361600272 is about 19015.7900703599. The cubic root of 361600272 is about 712.4311763624.

The spelling of 361600272 in words is "three hundred sixty-one million, six hundred thousand, two hundred seventy-two".