75278907072 has 168 divisors, whose sum is σ = 224280319536. Its totient is φ = 24120059904.

The previous prime is 75278907047. The next prime is 75278907083. The reversal of 75278907072 is 27070987257.

It is a super-2 number, since 2×75278907072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747618 + ... + 1790174.

It is an arithmetic number, because the mean of its divisors is an integer number (1335001902).

Almost surely, 2^75278907072 is an apocalyptic number.

75278907072 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 75278907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112140159768).

75278907072 is an abundant number, since it is smaller than the sum of its proper divisors (149001412464).

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

75278907072 is a wasteful number, since it uses less digits than its factorization.

75278907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42695 (or 42682 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 75278907072 in words is "seventy-five billion, two hundred seventy-eight million, nine hundred seven thousand, seventy-two".