76571998272 has 504 divisors, whose sum is σ = 285970845888. Its totient is φ = 19885409280.

The previous prime is 76571998231. The next prime is 76571998309. The reversal of 76571998272 is 27289917567.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13169638 + ... + 13175450.

It is an arithmetic number, because the mean of its divisors is an integer number (567402472).

Almost surely, 2^76571998272 is an apocalyptic number.

76571998272 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 76571998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142985422944).

76571998272 is an abundant number, since it is smaller than the sum of its proper divisors (209398847616).

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

76571998272 is a wasteful number, since it uses less digits than its factorization.

76571998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5836 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 76571998272 in words is "seventy-six billion, five hundred seventy-one million, nine hundred ninety-eight thousand, two hundred seventy-two".