270342072 has 384 divisors, whose sum is σ = 1023160320. Its totient is φ = 62726400.

The previous prime is 270342053. The next prime is 270342101. The reversal of 270342072 is 270243072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8720697 + ... + 8720727.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 2^270342072 is an apocalyptic number.

270342072 is a gapful number since it is divisible by the number (22) 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 270342072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511580160).

270342072 is an abundant number, since it is smaller than the sum of its proper divisors (752818248).

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

270342072 is a wasteful number, since it uses less digits than its factorization.

270342072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 270342072 is about 16442.0823498728. The cubic root of 270342072 is about 646.6032443321.

The spelling of 270342072 in words is "two hundred seventy million, three hundred forty-two thousand, seventy-two".