75216272880 has 960 divisors, whose sum is σ = 299963658240. Its totient is φ = 15251079168.

The previous prime is 75216272867. The next prime is 75216272893. The reversal of 75216272880 is 8827261257.

It is an interprime number because it is at equal distance from previous prime (75216272867) and next prime (75216272893).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 952104681 + ... + 952104759.

It is an arithmetic number, because the mean of its divisors is an integer number (312462144).

Almost surely, 2^75216272880 is an apocalyptic number.

75216272880 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 75216272880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149981829120).

75216272880 is an abundant number, since it is smaller than the sum of its proper divisors (224747385360).

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

75216272880 is a wasteful number, since it uses less digits than its factorization.

75216272880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 75216272880 in words is "seventy-five billion, two hundred sixteen million, two hundred seventy-two thousand, eight hundred eighty".