71914752 has 270 divisors, whose sum is σ = 260498602. Its totient is φ = 18966528.

The previous prime is 71914691. The next prime is 71914757. The reversal of 71914752 is 25741917.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 22127616 = 7056^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17640) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71914757) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5531898 + ... + 5531910.

Almost surely, 2^71914752 is an apocalyptic number.

71914752 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 71914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130249301).

71914752 is an abundant number, since it is smaller than the sum of its proper divisors (188583850).

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

71914752 is an equidigital number, since it uses as much as digits as its factorization.

71914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 71914752 is about 8480.2565998913. The cubic root of 71914752 is about 415.8525118184.

The spelling of 71914752 in words is "seventy-one million, nine hundred fourteen thousand, seven hundred fifty-two".