948076272 has 320 divisors, whose sum is σ = 3249792000. Its totient is φ = 260858880.

The previous prime is 948076219. The next prime is 948076289. The reversal of 948076272 is 272670849.

948076272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×948076272³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 6362854 + ... + 6363002.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^948076272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

948076272 is an abundant number, since it is smaller than the sum of its proper divisors (2301715728).

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

948076272 is a wasteful number, since it uses less digits than its factorization.

948076272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

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

The square root of 948076272 is about 30790.8472114685. The cubic root of 948076272 is about 982.3835745732.

The spelling of 948076272 in words is "nine hundred forty-eight million, seventy-six thousand, two hundred seventy-two".