273252000 has 192 divisors, whose sum is σ = 1023369984. Its totient is φ = 62438400.

The previous prime is 273251981. The next prime is 273252037. The reversal of 273252000 is 252372.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82374 + ... + 85626.

It is an arithmetic number, because the mean of its divisors is an integer number (5330052).

Almost surely, 2^273252000 is an apocalyptic number.

273252000 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 273252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511684992).

273252000 is an abundant number, since it is smaller than the sum of its proper divisors (750117984).

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

273252000 is a wasteful number, since it uses less digits than its factorization.

273252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 273252000 is about 16530.3357497662. The cubic root of 273252000 is about 648.9149550283.

The spelling of 273252000 in words is "two hundred seventy-three million, two hundred fifty-two thousand".