273672000 has 448 divisors, whose sum is σ = 1153850880. Its totient is φ = 62208000.

The previous prime is 273671989. The next prime is 273672013. The reversal of 273672000 is 276372.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1511910 + ... + 1512090.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^273672000 is an apocalyptic number.

273672000 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 273672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

273672000 is an abundant number, since it is smaller than the sum of its proper divisors (880178880).

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

273672000 is a wasteful number, since it uses less digits than its factorization.

273672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 273672000 is about 16543.0347880913. The cubic root of 273672000 is about 649.2472548381.

The spelling of 273672000 in words is "two hundred seventy-three million, six hundred seventy-two thousand".