76586157072 has 200 divisors, whose sum is σ = 232078271040. Its totient is φ = 24350457600.

The previous prime is 76586157061. The next prime is 76586157097. The reversal of 76586157072 is 27075168567.

It is a happy number.

76586157072 is a `hidden beast` number, since 7 + 6 + 5 + 8 + 61 + 570 + 7 + 2 = 666.

It is a super-2 number, since 2×76586157072² (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 39 ways as a sum of consecutive naturals, for example, 3107197 + ... + 3131747.

Almost surely, 2^76586157072 is an apocalyptic number.

76586157072 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 76586157072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116039135520).

76586157072 is an abundant number, since it is smaller than the sum of its proper divisors (155492113968).

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

76586157072 is a wasteful number, since it uses less digits than its factorization.

76586157072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24683 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 76586157072 in words is "seventy-six billion, five hundred eighty-six million, one hundred fifty-seven thousand, seventy-two".