272964000 has 288 divisors, whose sum is σ = 956539584. Its totient is φ = 68006400.

The previous prime is 272963989. The next prime is 272964007. The reversal of 272964000 is 469272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (272964007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347979 + ... + 6348021.

It is an arithmetic number, because the mean of its divisors is an integer number (3321318).

Almost surely, 2^272964000 is an apocalyptic number.

272964000 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 272964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478269792).

272964000 is an abundant number, since it is smaller than the sum of its proper divisors (683575584).

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

272964000 is a wasteful number, since it uses less digits than its factorization.

272964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 272964000 is about 16521.6221963825. The cubic root of 272964000 is about 648.6868954550.

The spelling of 272964000 in words is "two hundred seventy-two million, nine hundred sixty-four thousand".