78735672 has 64 divisors (see below), whose sum is σ = 220896000. Its totient is φ = 25983072.

The previous prime is 78735641. The next prime is 78735697. The reversal of 78735672 is 27653787.

78735672 is a `hidden beast` number, since 7 + 87 + 3 + 567 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20479 + ... + 24017.

It is an arithmetic number, because the mean of its divisors is an integer number (3451500).

Almost surely, 2^78735672 is an apocalyptic number.

78735672 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 78735672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110448000).

78735672 is an abundant number, since it is smaller than the sum of its proper divisors (142160328).

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

78735672 is a wasteful number, since it uses less digits than its factorization.

78735672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3647 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 78735672 is about 8873.3123465817. The cubic root of 78735672 is about 428.6049470927.

The spelling of 78735672 in words is "seventy-eight million, seven hundred thirty-five thousand, six hundred seventy-two".