78717132 has 144 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 22619520.

The previous prime is 78717127. The next prime is 78717139. The reversal of 78717132 is 23171787.

It is a happy number.

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 (78717139) 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, 764193 + ... + 764295.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 2^78717132 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 78717132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

78717132 is an abundant number, since it is smaller than the sum of its proper divisors (150235956).

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

78717132 is a wasteful number, since it uses less digits than its factorization.

78717132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 78717132 is about 8872.2675793734. The cubic root of 78717132 is about 428.5713030476.

The spelling of 78717132 in words is "seventy-eight million, seven hundred seventeen thousand, one hundred thirty-two".