71754480 has 240 divisors, whose sum is σ = 287838720. Its totient is φ = 15662592.

The previous prime is 71754461. The next prime is 71754481. The reversal of 71754480 is 8445717.

71754480 is a `hidden beast` number, since 7 + 175 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (71754481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115611 + ... + 116229.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^71754480 is an apocalyptic number.

71754480 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 71754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

71754480 is an abundant number, since it is smaller than the sum of its proper divisors (216084240).

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

71754480 is a wasteful number, since it uses less digits than its factorization.

71754480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

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

The square root of 71754480 is about 8470.8016149595. The cubic root of 71754480 is about 415.5433537024.

The spelling of 71754480 in words is "seventy-one million, seven hundred fifty-four thousand, four hundred eighty".