76323072 has 72 divisors (see below), whose sum is σ = 232165696. Its totient is φ = 21805056.

The previous prime is 76323061. The next prime is 76323073. The reversal of 76323072 is 27032367.

It is a super-3 number, since 3×76323072³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76323073) 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, 1723 + ... + 12474.

Almost surely, 2^76323072 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 76323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116082848).

76323072 is an abundant number, since it is smaller than the sum of its proper divisors (155842624).

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

76323072 is a wasteful number, since it uses less digits than its factorization.

76323072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14223 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 76323072 is about 8736.3076868892. The cubic root of 76323072 is about 424.1817187137.

The spelling of 76323072 in words is "seventy-six million, three hundred twenty-three thousand, seventy-two".