71712480 has 144 divisors (see below), whose sum is σ = 262861200. Its totient is φ = 16386048.

The previous prime is 71712449. The next prime is 71712481. The reversal of 71712480 is 8421717.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71712481) 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, 21996 + ... + 25044.

It is an arithmetic number, because the mean of its divisors is an integer number (1825425).

Almost surely, 2^71712480 is an apocalyptic number.

71712480 is a gapful number since it is divisible by the number (70) 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 71712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131430600).

71712480 is an abundant number, since it is smaller than the sum of its proper divisors (191148720).

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

71712480 is a wasteful number, since it uses less digits than its factorization.

71712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 71712480 is about 8468.3221478638. The cubic root of 71712480 is about 415.4622613108.

The spelling of 71712480 in words is "seventy-one million, seven hundred twelve thousand, four hundred eighty".