78251712 has 224 divisors, whose sum is σ = 265297920. Its totient is φ = 19768320.

The previous prime is 78251699. The next prime is 78251717. The reversal of 78251712 is 21715287.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×78251712² = 12246660861861888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (78251717) 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, 990489 + ... + 990567.

Almost surely, 2^78251712 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 78251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132648960).

78251712 is an abundant number, since it is smaller than the sum of its proper divisors (187046208).

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

78251712 is a wasteful number, since it uses less digits than its factorization.

78251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 78251712 is about 8845.9997739091. Note that the first 3 decimals coincide. The cubic root of 78251712 is about 427.7249812667.

Adding to 78251712 its reverse (21715287), we get a palindrome (99966999).

The spelling of 78251712 in words is "seventy-eight million, two hundred fifty-one thousand, seven hundred twelve".