361798272 has 256 divisors, whose sum is σ = 1206374400. Its totient is φ = 105753600.

The previous prime is 361798253. The next prime is 361798273. The reversal of 361798272 is 272897163.

361798272 is a `hidden beast` number, since 3 + 617 + 9 + 8 + 27 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (361798273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178343 + ... + 1178649.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^361798272 is an apocalyptic number.

361798272 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 361798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603187200).

361798272 is an abundant number, since it is smaller than the sum of its proper divisors (844576128).

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

361798272 is a wasteful number, since it uses less digits than its factorization.

361798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 361798272 is about 19020.9955575411. The cubic root of 361798272 is about 712.5611869891.

The spelling of 361798272 in words is "three hundred sixty-one million, seven hundred ninety-eight thousand, two hundred seventy-two".