71751680 has 288 divisors, whose sum is σ = 235282320. Its totient is φ = 20643840.

The previous prime is 71751643. The next prime is 71751689. The reversal of 71751680 is 8615717.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 71751680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71751689) 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, 5519354 + ... + 5519366.

Almost surely, 2^71751680 is an apocalyptic number.

71751680 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 71751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

71751680 is an abundant number, since it is smaller than the sum of its proper divisors (163530640).

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

71751680 is a wasteful number, since it uses less digits than its factorization.

71751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 71751680 is about 8470.6363397327. The cubic root of 71751680 is about 415.5379485276.

The spelling of 71751680 in words is "seventy-one million, seven hundred fifty-one thousand, six hundred eighty".