272192514048 has 1440 divisors, whose sum is σ = 1073598926400. Its totient is φ = 67077144576.

The previous prime is 272192514043. The next prime is 272192514053. The reversal of 272192514048 is 840415291272.

272192514048 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 92 + 514 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (272192514043) and next prime (272192514053).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 272192513994 and 272192514012.

It is not an unprimeable number, because it can be changed into a prime (272192514043) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3728664540 + ... + 3728664612.

It is an arithmetic number, because the mean of its divisors is an integer number (745554810).

Almost surely, 2^272192514048 is an apocalyptic number.

272192514048 is a gapful number since it is divisible by the number (28) 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 272192514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536799463200).

272192514048 is an abundant number, since it is smaller than the sum of its proper divisors (801406412352).

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

272192514048 is a wasteful number, since it uses less digits than its factorization.

272192514048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 272192514048 in words is "two hundred seventy-two billion, one hundred ninety-two million, five hundred fourteen thousand, forty-eight".