7872550272 has 128 divisors (see below), whose sum is σ = 23265792000. Its totient is φ = 2620703232.

The previous prime is 7872550253. The next prime is 7872550291. The reversal of 7872550272 is 2720552787.

7872550272 is a `hidden beast` number, since 7 + 8 + 72 + 5 + 502 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (7872550253) and next prime (7872550291).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4972393 + ... + 4973975.

It is an arithmetic number, because the mean of its divisors is an integer number (181764000).

Almost surely, 2^7872550272 is an apocalyptic number.

7872550272 is a gapful number since it is divisible by the number (72) 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 7872550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632896000).

7872550272 is an abundant number, since it is smaller than the sum of its proper divisors (15393241728).

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

7872550272 is a wasteful number, since it uses less digits than its factorization.

7872550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 7872550272 is about 88727.3930192925. The cubic root of 7872550272 is about 1989.3222839740.

The spelling of 7872550272 in words is "seven billion, eight hundred seventy-two million, five hundred fifty thousand, two hundred seventy-two".