270072992 has 192 divisors, whose sum is σ = 696729600. Its totient is φ = 100362240.

The previous prime is 270072991. The next prime is 270072997. The reversal of 270072992 is 299270072.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (270072991) 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 31 ways as a sum of consecutive naturals, for example, 3034484 + ... + 3034572.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^270072992 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 270072992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

270072992 is an abundant number, since it is smaller than the sum of its proper divisors (426656608).

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

270072992 is a wasteful number, since it uses less digits than its factorization.

270072992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 270072992 is about 16433.8976508922. The cubic root of 270072992 is about 646.3886449089.

It can be divided in two parts, 270072 and 992, that multiplied together give a square (267911424 = 16368²).

The spelling of 270072992 in words is "two hundred seventy million, seventy-two thousand, nine hundred ninety-two".