76842272 has 48 divisors (see below), whose sum is σ = 164034360. Its totient is φ = 35433216.

The previous prime is 76842263. The next prime is 76842277. The reversal of 76842272 is 27224867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19749136 + 57093136 = 4444^2 + 7556^2 .

It is a super-2 number, since 2×76842272² = 11809469532243968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76842277) 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, 69758 + ... + 70850.

Almost surely, 2^76842272 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 76842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82017180).

76842272 is an abundant number, since it is smaller than the sum of its proper divisors (87192088).

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

76842272 is a wasteful number, since it uses less digits than its factorization.

76842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1108 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 76842272 is about 8765.9723932944. The cubic root of 76842272 is about 425.1414007006.

The spelling of 76842272 in words is "seventy-six million, eight hundred forty-two thousand, two hundred seventy-two".