361615372272 has 480 divisors, whose sum is σ = 1318912917504. Its totient is φ = 93176697600.

The previous prime is 361615372253. The next prime is 361615372291. The reversal of 361615372272 is 272273516163.

361615372272 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 1 + 5 + 372 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (361615372253) and next prime (361615372291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38015997 + ... + 38025507.

Almost surely, 2^361615372272 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 361615372272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659456458752).

361615372272 is an abundant number, since it is smaller than the sum of its proper divisors (957297545232).

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

361615372272 is a wasteful number, since it uses less digits than its factorization.

361615372272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9661 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 361615372272 in words is "three hundred sixty-one billion, six hundred fifteen million, three hundred seventy-two thousand, two hundred seventy-two".