78271032 has 192 divisors, whose sum is σ = 249523200. Its totient is φ = 20321280.

The previous prime is 78271019. The next prime is 78271049. The reversal of 78271032 is 23017287.

78271032 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×78271032² = 12252708900690048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692608 + ... + 692720.

It is an arithmetic number, because the mean of its divisors is an integer number (1299600).

Almost surely, 2^78271032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78271032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761600).

78271032 is an abundant number, since it is smaller than the sum of its proper divisors (171252168).

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

78271032 is a wasteful number, since it uses less digits than its factorization.

78271032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 78271032 is about 8847.0917255333. The cubic root of 78271032 is about 427.7601795025.

The spelling of 78271032 in words is "seventy-eight million, two hundred seventy-one thousand, thirty-two".