78915672 has 96 divisors (see below), whose sum is σ = 239550480. Its totient is φ = 23258880.

The previous prime is 78915671. The next prime is 78915743. The reversal of 78915672 is 27651987.

78915672 is a `hidden beast` number, since 7 + 89 + 1 + 567 + 2 = 666.

It is a super-3 number, since 3×78915672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78915671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27958 + ... + 30650.

Almost surely, 2^78915672 is an apocalyptic number.

78915672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78915672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119775240).

78915672 is an abundant number, since it is smaller than the sum of its proper divisors (160634808).

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

78915672 is a wasteful number, since it uses less digits than its factorization.

78915672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2746 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 78915672 is about 8883.4493300744. The cubic root of 78915672 is about 428.9313140887.

It can be divided in two parts, 789 and 15672, that added together give a palindrome (16461).

The spelling of 78915672 in words is "seventy-eight million, nine hundred fifteen thousand, six hundred seventy-two".