76126272 has 112 divisors (see below), whose sum is σ = 216603072. Its totient is φ = 23511040.

The previous prime is 76126261. The next prime is 76126273. The reversal of 76126272 is 27262167.

It is not an unprimeable number, because it can be changed into a prime (76126273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270772 + ... + 271052.

It is an arithmetic number, because the mean of its divisors is an integer number (1933956).

Almost surely, 2^76126272 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 76126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301536).

76126272 is an abundant number, since it is smaller than the sum of its proper divisors (140476800).

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

76126272 is a wasteful number, since it uses less digits than its factorization.

76126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 76126272 is about 8725.0370772851. The cubic root of 76126272 is about 423.8168189373.

The spelling of 76126272 in words is "seventy-six million, one hundred twenty-six thousand, two hundred seventy-two".