272903040 has 256 divisors, whose sum is σ = 1024488000. Its totient is φ = 68419584.

The previous prime is 272903017. The next prime is 272903047. The reversal of 272903040 is 40309272.

272903040 is a `hidden beast` number, since 272 + 90 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 272902995 and 272903013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272903047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293296 + ... + 294224.

Almost surely, 2^272903040 is an apocalyptic number.

272903040 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 272903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512244000).

272903040 is an abundant number, since it is smaller than the sum of its proper divisors (751584960).

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

272903040 is a wasteful number, since it uses less digits than its factorization.

272903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 272903040 is about 16519.7772382075. Note that the first 3 decimals coincide. The cubic root of 272903040 is about 648.6386022768.

The spelling of 272903040 in words is "two hundred seventy-two million, nine hundred three thousand, forty".