76723872 has 48 divisors (see below), whose sum is σ = 203847840. Its totient is φ = 25263872.

The previous prime is 76723849. The next prime is 76723877. The reversal of 76723872 is 27832767.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (76723877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154 + ... + 12782.

It is an arithmetic number, because the mean of its divisors is an integer number (4246830).

Almost surely, 2^76723872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101923920).

76723872 is an abundant number, since it is smaller than the sum of its proper divisors (127123968).

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

76723872 is a wasteful number, since it uses less digits than its factorization.

76723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9717 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 76723872 is about 8759.2164033091. The cubic root of 76723872 is about 424.9229332002.

The spelling of 76723872 in words is "seventy-six million, seven hundred twenty-three thousand, eight hundred seventy-two".