1361302272 has 324 divisors, whose sum is σ = 4558958040. Its totient is φ = 389283840.

The previous prime is 1361302247. The next prime is 1361302273. The reversal of 1361302272 is 2722031631.

1361302272 is a `hidden beast` number, since 1 + 361 + 30 + 2 + 272 = 666.

It is not an unprimeable number, because it can be changed into a prime (1361302273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5296768 + ... + 5297024.

Almost surely, 2^1361302272 is an apocalyptic number.

1361302272 is a gapful number since it is divisible by the number (12) 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 1361302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279479020).

1361302272 is an abundant number, since it is smaller than the sum of its proper divisors (3197655768).

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

1361302272 is a wasteful number, since it uses less digits than its factorization.

1361302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

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

The square root of 1361302272 is about 36895.8300082814. The cubic root of 1361302272 is about 1108.2851729401.

The spelling of 1361302272 in words is "one billion, three hundred sixty-one million, three hundred two thousand, two hundred seventy-two".