78550272 has 108 divisors (see below), whose sum is σ = 229369504. Its totient is φ = 25850880.

The previous prime is 78550271. The next prime is 78550273. The reversal of 78550272 is 27205587.

78550272 is a `hidden beast` number, since 7 + 85 + 502 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (78550271) and next prime (78550273).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78550271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237147 + ... + 237477.

Almost surely, 2^78550272 is an apocalyptic number.

78550272 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 78550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114684752).

78550272 is an abundant number, since it is smaller than the sum of its proper divisors (150819232).

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

78550272 is a wasteful number, since it uses less digits than its factorization.

78550272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 78550272 is about 8862.8591323568. The cubic root of 78550272 is about 428.2682686510.

The spelling of 78550272 in words is "seventy-eight million, five hundred fifty thousand, two hundred seventy-two".