76232016 has 120 divisors (see below), whose sum is σ = 252942144. Its totient is φ = 21772800.

The previous prime is 76231999. The next prime is 76232017. The reversal of 76232016 is 61023267.

It is a happy number.

76232016 is a `hidden beast` number, since 7 + 623 + 20 + 16 = 666.

It is a super-2 number, since 2×76232016² = 11622640526848512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76232017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25816 + ... + 28616.

Almost surely, 2^76232016 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 76232016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126471072).

76232016 is an abundant number, since it is smaller than the sum of its proper divisors (176710128).

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

76232016 is a wasteful number, since it uses less digits than its factorization.

76232016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 76232016 is about 8731.0947767161. The cubic root of 76232016 is about 424.0129638851.

The spelling of 76232016 in words is "seventy-six million, two hundred thirty-two thousand, sixteen".