272768040 has 256 divisors, whose sum is σ = 967680000. Its totient is φ = 68200704.

The previous prime is 272768021. The next prime is 272768053. The reversal of 272768040 is 40867272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272767986 and 272768004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962291 + ... + 1962429.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^272768040 is an apocalyptic number.

272768040 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 272768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840000).

272768040 is an abundant number, since it is smaller than the sum of its proper divisors (694911960).

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

272768040 is a wasteful number, since it uses less digits than its factorization.

272768040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272768040 is about 16515.6907212505. The cubic root of 272768040 is about 648.5316281974.

The spelling of 272768040 in words is "two hundred seventy-two million, seven hundred sixty-eight thousand, forty".