272085000 has 320 divisors, whose sum is σ = 991932480. Its totient is φ = 61440000.

The previous prime is 272084999. The next prime is 272085001. The reversal of 272085000 is 580272.

It is an interprime number because it is at equal distance from previous prime (272084999) and next prime (272085001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272085001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2804952 + ... + 2805048.

It is an arithmetic number, because the mean of its divisors is an integer number (3099789).

Almost surely, 2^272085000 is an apocalyptic number.

272085000 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 272085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495966240).

272085000 is an abundant number, since it is smaller than the sum of its proper divisors (719847480).

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

272085000 is a wasteful number, since it uses less digits than its factorization.

272085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 272085000 is about 16494.9992421946. Note that the first 3 decimals coincide. The cubic root of 272085000 is about 647.9898451388.

The spelling of 272085000 in words is "two hundred seventy-two million, eighty-five thousand".