76219848072 has 128 divisors (see below), whose sum is σ = 213928041600. Its totient is φ = 25143035904.

The previous prime is 76219847969. The next prime is 76219848079. The reversal of 76219848072 is 27084891267.

It is a happy number.

76219848072 is a `hidden beast` number, since 7 + 6 + 2 + 1 + 98 + 480 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76219848079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9968683 + ... + 9976325.

It is an arithmetic number, because the mean of its divisors is an integer number (1671312825).

Almost surely, 2^76219848072 is an apocalyptic number.

76219848072 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 76219848072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106964020800).

76219848072 is an abundant number, since it is smaller than the sum of its proper divisors (137708193528).

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

76219848072 is a wasteful number, since it uses less digits than its factorization.

76219848072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 76219848072 in words is "seventy-six billion, two hundred nineteen million, eight hundred forty-eight thousand, seventy-two".