78517272 has 64 divisors (see below), whose sum is σ = 207792000. Its totient is φ = 24655104.

The previous prime is 78517247. The next prime is 78517277. The reversal of 78517272 is 27271587.

It is a self number, because there is not a number n which added to its sum of digits gives 78517272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78517277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105879 + ... + 106617.

It is an arithmetic number, because the mean of its divisors is an integer number (3246750).

Almost surely, 2^78517272 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 78517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896000).

78517272 is an abundant number, since it is smaller than the sum of its proper divisors (129274728).

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

78517272 is a wasteful number, since it uses less digits than its factorization.

78517272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 54880, while the sum is 39.

The square root of 78517272 is about 8860.9972350746. The cubic root of 78517272 is about 428.2082865440.

The spelling of 78517272 in words is "seventy-eight million, five hundred seventeen thousand, two hundred seventy-two".