78486072 has 64 divisors (see below), whose sum is σ = 225926400. Its totient is φ = 22256640.

The previous prime is 78486053. The next prime is 78486073. The reversal of 78486072 is 27068487.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78486073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21672 + ... + 25032.

It is an arithmetic number, because the mean of its divisors is an integer number (3530100).

Almost surely, 2^78486072 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 78486072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112963200).

78486072 is an abundant number, since it is smaller than the sum of its proper divisors (147440328).

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

78486072 is a wasteful number, since it uses less digits than its factorization.

78486072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 78486072 is about 8859.2365359550. The cubic root of 78486072 is about 428.1515607298.

The spelling of 78486072 in words is "seventy-eight million, four hundred eighty-six thousand, seventy-two".