76129872 has 160 divisors (see below), whose sum is σ = 250817280. Its totient is φ = 19353600.

The previous prime is 76129871. The next prime is 76129913. The reversal of 76129872 is 27892167.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (76129871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126372 + ... + 126972.

It is an arithmetic number, because the mean of its divisors is an integer number (1567608).

Almost surely, 2^76129872 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 76129872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125408640).

76129872 is an abundant number, since it is smaller than the sum of its proper divisors (174687408).

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

76129872 is a wasteful number, since it uses less digits than its factorization.

76129872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 76129872 is about 8725.2433776944. The cubic root of 76129872 is about 423.8234995766.

The spelling of 76129872 in words is "seventy-six million, one hundred twenty-nine thousand, eight hundred seventy-two".