78017472 has 224 divisors, whose sum is σ = 259445760. Its totient is φ = 22809600.

The previous prime is 78017447. The next prime is 78017473. The reversal of 78017472 is 27471087.

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 (78017473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516597 + ... + 516747.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^78017472 is an apocalyptic number.

78017472 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 78017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

78017472 is an abundant number, since it is smaller than the sum of its proper divisors (181428288).

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

78017472 is a wasteful number, since it uses less digits than its factorization.

78017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 78017472 is about 8832.7499681583. The cubic root of 78017472 is about 427.2977683062.

The spelling of 78017472 in words is "seventy-eight million, seventeen thousand, four hundred seventy-two".