701091072 has 144 divisors (see below), whose sum is σ = 2261972160. Its totient is φ = 212428800.

The previous prime is 701091043. The next prime is 701091073. The reversal of 701091072 is 270190107.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701091073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71422 + ... + 80642.

It is an arithmetic number, because the mean of its divisors is an integer number (15708140).

Almost surely, 2^701091072 is an apocalyptic number.

701091072 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 701091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130986080).

701091072 is an abundant number, since it is smaller than the sum of its proper divisors (1560881088).

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

701091072 is a wasteful number, since it uses less digits than its factorization.

701091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9257 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 701091072 is about 26478.1244048743. The cubic root of 701091072 is about 888.3650799805.

The spelling of 701091072 in words is "seven hundred one million, ninety-one thousand, seventy-two".