76229757072 has 480 divisors, whose sum is σ = 269015996160. Its totient is φ = 20822199552.

The previous prime is 76229757013. The next prime is 76229757119. The reversal of 76229757072 is 27075792267.

76229757072 is a `hidden beast` number, since 7 + 62 + 2 + 9 + 7 + 570 + 7 + 2 = 666.

It is a super-2 number, since 2×76229757072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39435018 + ... + 39436950.

It is an arithmetic number, because the mean of its divisors is an integer number (560449992).

Almost surely, 2^76229757072 is an apocalyptic number.

76229757072 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 76229757072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134507998080).

76229757072 is an abundant number, since it is smaller than the sum of its proper divisors (192786239088).

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

76229757072 is a wasteful number, since it uses less digits than its factorization.

76229757072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 76229757072 in words is "seventy-six billion, two hundred twenty-nine million, seven hundred fifty-seven thousand, seventy-two".