78514272 has 144 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 24976512.

The previous prime is 78514237. The next prime is 78514277. The reversal of 78514272 is 27241587.

78514272 is a `hidden beast` number, since 78 + 514 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (78514277) 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, 178629 + ... + 179067.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^78514272 is an apocalyptic number.

78514272 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 78514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

78514272 is an abundant number, since it is smaller than the sum of its proper divisors (163647648).

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

78514272 is a wasteful number, since it uses less digits than its factorization.

78514272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 78514272 is about 8860.8279522853. The cubic root of 78514272 is about 428.2028327919.

The spelling of 78514272 in words is "seventy-eight million, five hundred fourteen thousand, two hundred seventy-two".