76135752 has 192 divisors, whose sum is σ = 265973760. Its totient is φ = 19094400.

The previous prime is 76135739. The next prime is 76135753. The reversal of 76135752 is 25753167.

76135752 is a `hidden beast` number, since 76 + 13 + 575 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (76135753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171643 + ... + 172085.

It is an arithmetic number, because the mean of its divisors is an integer number (1385280).

Almost surely, 2^76135752 is an apocalyptic number.

76135752 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 76135752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132986880).

76135752 is an abundant number, since it is smaller than the sum of its proper divisors (189838008).

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

76135752 is a wasteful number, since it uses less digits than its factorization.

76135752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 76135752 is about 8725.5803245400. The cubic root of 76135752 is about 423.8344108346.

The spelling of 76135752 in words is "seventy-six million, one hundred thirty-five thousand, seven hundred fifty-two".