71742520 has 64 divisors (see below), whose sum is σ = 174312000. Its totient is φ = 26492928.

The previous prime is 71742511. The next prime is 71742529. The reversal of 71742520 is 2524717.

It is an interprime number because it is at equal distance from previous prime (71742511) and next prime (71742529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71742529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25336 + ... + 28024.

It is an arithmetic number, because the mean of its divisors is an integer number (2723625).

Almost surely, 2^71742520 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 71742520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87156000).

71742520 is an abundant number, since it is smaller than the sum of its proper divisors (102569480).

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

71742520 is a wasteful number, since it uses less digits than its factorization.

71742520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 71742520 is about 8470.0956311012. The cubic root of 71742520 is about 415.5202649017.

The spelling of 71742520 in words is "seventy-one million, seven hundred forty-two thousand, five hundred twenty".