272028072960 has 1056 divisors, whose sum is σ = 1155603750912. Its totient is φ = 57808650240.

The previous prime is 272028072941. The next prime is 272028072989. The reversal of 272028072960 is 69270820272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274498065 + ... + 274499055.

Almost surely, 2^272028072960 is an apocalyptic number.

272028072960 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 272028072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577801875456).

272028072960 is an abundant number, since it is smaller than the sum of its proper divisors (883575677952).

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

272028072960 is a wasteful number, since it uses less digits than its factorization.

272028072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 272028072960 in words is "two hundred seventy-two billion, twenty-eight million, seventy-two thousand, nine hundred sixty".