7601211072 has 672 divisors, whose sum is σ = 28704259584. Its totient is φ = 1940889600.

The previous prime is 7601211047. The next prime is 7601211077. The reversal of 7601211072 is 2701121067.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7601211072² (a number of 21 digits) contains 22 as substring.

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 (7601211077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58024447 + ... + 58024577.

It is an arithmetic number, because the mean of its divisors is an integer number (42714672).

Almost surely, 2^7601211072 is an apocalyptic number.

7601211072 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 7601211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352129792).

7601211072 is an abundant number, since it is smaller than the sum of its proper divisors (21103048512).

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

7601211072 is a wasteful number, since it uses less digits than its factorization.

7601211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 7601211072 is about 87184.9245684138. The cubic root of 7601211072 is about 1966.1995728916.

The spelling of 7601211072 in words is "seven billion, six hundred one million, two hundred eleven thousand, seventy-two".