76306272 has 96 divisors (see below), whose sum is σ = 238920192. Its totient is φ = 20849664.

The previous prime is 76306267. The next prime is 76306309. The reversal of 76306272 is 27260367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12988 + ... + 17924.

It is an arithmetic number, because the mean of its divisors is an integer number (2488752).

Almost surely, 2^76306272 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 76306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119460096).

76306272 is an abundant number, since it is smaller than the sum of its proper divisors (162613920).

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

76306272 is a wasteful number, since it uses less digits than its factorization.

76306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 76306272 is about 8735.3461293758. The cubic root of 76306272 is about 424.1505932378.

The spelling of 76306272 in words is "seventy-six million, three hundred six thousand, two hundred seventy-two".