78114672 has 80 divisors (see below), whose sum is σ = 227381280. Its totient is φ = 25671168.

The previous prime is 78114671. The next prime is 78114683. The reversal of 78114672 is 27641187.

It is a super-2 number, since 2×78114672² = 12203803963335168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78114671) 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, 30298 + ... + 32774.

It is an arithmetic number, because the mean of its divisors is an integer number (2842266).

Almost surely, 2^78114672 is an apocalyptic number.

78114672 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 78114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113690640).

78114672 is an abundant number, since it is smaller than the sum of its proper divisors (149266608).

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

78114672 is a wasteful number, since it uses less digits than its factorization.

78114672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2555 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 78114672 is about 8838.2505056148. The cubic root of 78114672 is about 427.4751478320.

The spelling of 78114672 in words is "seventy-eight million, one hundred fourteen thousand, six hundred seventy-two".