7267129128 has 192 divisors, whose sum is σ = 24852821760. Its totient is φ = 1869170688.

The previous prime is 7267129123. The next prime is 7267129141. The reversal of 7267129128 is 8219217627.

It is a happy number.

It is a super-2 number, since 2×7267129128² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7267129123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178626 + ... + 215502.

It is an arithmetic number, because the mean of its divisors is an integer number (129441780).

Almost surely, 2^7267129128 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 7267129128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426410880).

7267129128 is an abundant number, since it is smaller than the sum of its proper divisors (17585692632).

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

7267129128 is a wasteful number, since it uses less digits than its factorization.

7267129128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36936 (or 36929 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 7267129128 is about 85247.4581908458. The cubic root of 7267129128 is about 1936.9613684022.

The spelling of 7267129128 in words is "seven billion, two hundred sixty-seven million, one hundred twenty-nine thousand, one hundred twenty-eight".