78555672 has 192 divisors, whose sum is σ = 247665600. Its totient is φ = 22302720.

The previous prime is 78555647. The next prime is 78555677. The reversal of 78555672 is 27655587.

78555672 is a `hidden beast` number, since 7 + 85 + 5 + 567 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78555677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882604 + ... + 882692.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^78555672 is an apocalyptic number.

78555672 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 78555672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

78555672 is an abundant number, since it is smaller than the sum of its proper divisors (169109928).

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

78555672 is a wasteful number, since it uses less digits than its factorization.

78555672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 78555672 is about 8863.1637692192. The cubic root of 78555672 is about 428.2780823054.

The spelling of 78555672 in words is "seventy-eight million, five hundred fifty-five thousand, six hundred seventy-two".