701872128 has 120 divisors (see below), whose sum is σ = 2096934840. Its totient is φ = 233902080.

The previous prime is 701872121. The next prime is 701872159. The reversal of 701872128 is 821278107.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 701872092 and 701872101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701872121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163773 + ... + 168003.

It is an arithmetic number, because the mean of its divisors is an integer number (17474457).

Almost surely, 2^701872128 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 701872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048467420).

701872128 is an abundant number, since it is smaller than the sum of its proper divisors (1395062712).

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

701872128 is an equidigital number, since it uses as much as digits as its factorization.

701872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 701872128 is about 26492.8693802691. The cubic root of 701872128 is about 888.6948542400.

The spelling of 701872128 in words is "seven hundred one million, eight hundred seventy-two thousand, one hundred twenty-eight".