711272128 has 56 divisors (see below), whose sum is σ = 1615744800. Its totient is φ = 304324608.

The previous prime is 711272123. The next prime is 711272131. The reversal of 711272128 is 821272117.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 711272128.

It is not an unprimeable number, because it can be changed into a prime (711272123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415338 + ... + 417046.

Almost surely, 2^711272128 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 711272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807872400).

711272128 is an abundant number, since it is smaller than the sum of its proper divisors (904472672).

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

711272128 is a wasteful number, since it uses less digits than its factorization.

711272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2647 counting only the distinct ones).

The product of its digits is 3136, while the sum is 31.

The square root of 711272128 is about 26669.6855624509. The cubic root of 711272128 is about 892.6446304489.

The spelling of 711272128 in words is "seven hundred eleven million, two hundred seventy-two thousand, one hundred twenty-eight".