272038091072 has 224 divisors, whose sum is σ = 616738074624. Its totient is φ = 117971251200.

The previous prime is 272038091069. The next prime is 272038091081. The reversal of 272038091072 is 270190830272.

It is a super-2 number, since 2×272038091072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315223313 + ... + 315224175.

It is an arithmetic number, because the mean of its divisors is an integer number (2753294976).

Almost surely, 2^272038091072 is an apocalyptic number.

272038091072 is a gapful number since it is divisible by the number (22) 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 272038091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308369037312).

272038091072 is an abundant number, since it is smaller than the sum of its proper divisors (344699983552).

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

272038091072 is a wasteful number, since it uses less digits than its factorization.

272038091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 272038091072 in words is "two hundred seventy-two billion, thirty-eight million, ninety-one thousand, seventy-two".