71998752 has 96 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 19484928.

The previous prime is 71998739. The next prime is 71998753. The reversal of 71998752 is 25789917.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (317520) is a multiple of the sum of its prime divisors (5670).

It is not an unprimeable number, because it can be changed into a prime (71998753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9949 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 2^71998752 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 71998752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

71998752 is an abundant number, since it is smaller than the sum of its proper divisors (155406048).

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

71998752 is a wasteful number, since it uses less digits than its factorization.

71998752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5670 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 71998752 is about 8485.2078348147. The cubic root of 71998752 is about 416.0143609441.

It can be divided in two parts, 7199 and 8752, that added together give a palindrome (15951).

The spelling of 71998752 in words is "seventy-one million, nine hundred ninety-eight thousand, seven hundred fifty-two".