78212512 has 192 divisors, whose sum is σ = 209018880. Its totient is φ = 27979776.

The previous prime is 78212509. The next prime is 78212513. The reversal of 78212512 is 21521287.

It is a super-2 number, since 2×78212512² = 12234394066700288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (78212513) 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, 1664073 + ... + 1664119.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^78212512 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 78212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

78212512 is an abundant number, since it is smaller than the sum of its proper divisors (130806368).

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

78212512 is a wasteful number, since it uses less digits than its factorization.

78212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 78212512 is about 8843.7838055891. The cubic root of 78212512 is about 427.6535467494.

Adding to 78212512 its reverse (21521287), we get a palindrome (99733799).

It can be divided in two parts, 782 and 12512, that multiplied together give a square (9784384 = 3128²).

The spelling of 78212512 in words is "seventy-eight million, two hundred twelve thousand, five hundred twelve".