72127008 has 36 divisors (see below), whose sum is σ = 205111998. Its totient is φ = 24042240.

The previous prime is 72127001. The next prime is 72127037. The reversal of 72127008 is 80072127.

It can be written as a sum of positive squares in only one way, i.e., 39087504 + 33039504 = 6252^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72127001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124933 + ... + 125508.

Almost surely, 2^72127008 is an apocalyptic number.

It is an amenable number.

72127008 is an abundant number, since it is smaller than the sum of its proper divisors (132984990).

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

72127008 is a wasteful number, since it uses less digits than its factorization.

72127008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250457 (or 250446 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72127008 is about 8492.7620948664. The cubic root of 72127008 is about 416.2612387735.

It can be divided in two parts, 72 and 127008, that multiplied together give a square (9144576 = 3024²).

The spelling of 72127008 in words is "seventy-two million, one hundred twenty-seven thousand, eight".