76059872 has 48 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 32196480.

The previous prime is 76059871. The next prime is 76059877. The reversal of 76059872 is 27895067.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76059871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16547 + ... + 20637.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^76059872 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 76059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

76059872 is an abundant number, since it is smaller than the sum of its proper divisors (97179040).

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

76059872 is a wasteful number, since it uses less digits than its factorization.

76059872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 76059872 is about 8721.2311057557. The cubic root of 76059872 is about 423.6935604704.

The spelling of 76059872 in words is "seventy-six million, fifty-nine thousand, eight hundred seventy-two".