76414752 has 144 divisors (see below), whose sum is σ = 233356032. Its totient is φ = 24572160.

The previous prime is 76414747. The next prime is 76414759. The reversal of 76414752 is 25741467.

76414752 is a `hidden beast` number, since 7 + 641 + 4 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (76414759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240898 + ... + 241214.

It is an arithmetic number, because the mean of its divisors is an integer number (1620528).

Almost surely, 2^76414752 is an apocalyptic number.

76414752 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 76414752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116678016).

76414752 is an abundant number, since it is smaller than the sum of its proper divisors (156941280).

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

76414752 is a wasteful number, since it uses less digits than its factorization.

76414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 76414752 is about 8741.5531800705. The cubic root of 76414752 is about 424.3514944580.

The spelling of 76414752 in words is "seventy-six million, four hundred fourteen thousand, seven hundred fifty-two".