272533381120 has 1344 divisors, whose sum is σ = 973404988416. Its totient is φ = 70590136320.

The previous prime is 272533381093. The next prime is 272533381147. The reversal of 272533381120 is 21183335272.

It is an interprime number because it is at equal distance from previous prime (272533381093) and next prime (272533381147).

It is a self number, because there is not a number n which added to its sum of digits gives 272533381120.

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, 11849277429 + ... + 11849277451.

It is an arithmetic number, because the mean of its divisors is an integer number (724259664).

Almost surely, 2^272533381120 is an apocalyptic number.

272533381120 is a gapful number since it is divisible by the number (20) 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 272533381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486702494208).

272533381120 is an abundant number, since it is smaller than the sum of its proper divisors (700871607296).

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

272533381120 is a wasteful number, since it uses less digits than its factorization.

272533381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 272533381120 in words is "two hundred seventy-two billion, five hundred thirty-three million, three hundred eighty-one thousand, one hundred twenty".