76129632 has 120 divisors (see below), whose sum is σ = 233812656. Its totient is φ = 24254208.

The previous prime is 76129631. The next prime is 76129643. The reversal of 76129632 is 23692167.

76129632 is a `hidden beast` number, since 7 + 6 + 12 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (76129631) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58978 + ... + 60254.

Almost surely, 2^76129632 is an apocalyptic number.

76129632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76129632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116906328).

76129632 is an abundant number, since it is smaller than the sum of its proper divisors (157683024).

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

76129632 is a wasteful number, since it uses less digits than its factorization.

76129632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 76129632 is about 8725.2296244855. The cubic root of 76129632 is about 423.8230542072.

The spelling of 76129632 in words is "seventy-six million, one hundred twenty-nine thousand, six hundred thirty-two".