270072000 has 504 divisors, whose sum is σ = 1096158336. Its totient is φ = 63360000.

The previous prime is 270071993. The next prime is 270072029. The reversal of 270072000 is 270072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8711985 + ... + 8712015.

Almost surely, 2^270072000 is an apocalyptic number.

270072000 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 270072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548079168).

270072000 is an abundant number, since it is smaller than the sum of its proper divisors (826086336).

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

270072000 is a wasteful number, since it uses less digits than its factorization.

270072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 270072000 is about 16433.8674693451. The cubic root of 270072000 is about 646.3878534952.

270072000 divided by its reverse (270072) gives a cube (1000 = 10³).

The spelling of 270072000 in words is "two hundred seventy million, seventy-two thousand".