75201067060 has 96 divisors (see below), whose sum is σ = 191469132288. Its totient is φ = 24219586560.

The previous prime is 75201067013. The next prime is 75201067061. The reversal of 75201067060 is 6076010257.

It is a super-3 number, since 3×75201067060³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75201067061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209657 + ... + 1270303.

It is an arithmetic number, because the mean of its divisors is an integer number (1994470128).

Almost surely, 2^75201067060 is an apocalyptic number.

75201067060 is a gapful number since it is divisible by the number (70) 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 75201067060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95734566144).

75201067060 is an abundant number, since it is smaller than the sum of its proper divisors (116268065228).

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

75201067060 is a wasteful number, since it uses less digits than its factorization.

75201067060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61201 (or 61199 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 75201067060 in words is "seventy-five billion, two hundred one million, sixty-seven thousand, sixty".