76272352501800 has 3072 divisors, whose sum is σ = 327118263091200. Its totient is φ = 14253893222400.

The previous prime is 76272352501789. The next prime is 76272352501801. The reversal of 76272352501800 is 810525327267.

It is a self number, because there is not a number n which added to its sum of digits gives 76272352501800.

It is not an unprimeable number, because it can be changed into a prime (76272352501801) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 124424718294 + ... + 124424718906.

It is an arithmetic number, because the mean of its divisors is an integer number (106483809600).

Almost surely, 2^{76272352501800} is an apocalyptic number.

76272352501800 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 76272352501800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163559131545600).

76272352501800 is an abundant number, since it is smaller than the sum of its proper divisors (250845910589400).

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

76272352501800 is a wasteful number, since it uses less digits than its factorization.

76272352501800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 76272352501800 in words is "seventy-six trillion, two hundred seventy-two billion, three hundred fifty-two million, five hundred one thousand, eight hundred".