1362200238272 has 112 divisors (see below), whose sum is σ = 2817847348800. Its totient is φ = 652810752000.

The previous prime is 1362200238253. The next prime is 1362200238283. The reversal of 1362200238272 is 2728320022631.

It is a happy number.

It is a super-3 number, since 3×1362200238272³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47580122 + ... + 47608742.

Almost surely, 2^{1362200238272} 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 1362200238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408923674400).

1362200238272 is an abundant number, since it is smaller than the sum of its proper divisors (1455647110528).

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

1362200238272 is a wasteful number, since it uses less digits than its factorization.

1362200238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28970 (or 28960 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 1362200238272 in words is "one trillion, three hundred sixty-two billion, two hundred million, two hundred thirty-eight thousand, two hundred seventy-two".