71919248 has 40 divisors (see below), whose sum is σ = 151162200. Its totient is φ = 33013760.

The previous prime is 71919247. The next prime is 71919257. The reversal of 71919248 is 84291917.

It can be written as a sum of positive squares in 4 ways, for example, as 20539024 + 51380224 = 4532^2 + 7168^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (71919241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7928 + ... + 14376.

It is an arithmetic number, because the mean of its divisors is an integer number (3779055).

Almost surely, 2^71919248 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 71919248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75581100).

71919248 is an abundant number, since it is smaller than the sum of its proper divisors (79242952).

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

71919248 is a wasteful number, since it uses less digits than its factorization.

71919248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6509 counting only the distinct ones).

The product of its digits is 36288, while the sum is 41.

The square root of 71919248 is about 8480.5216820665. The cubic root of 71919248 is about 415.8611777916.

The spelling of 71919248 in words is "seventy-one million, nine hundred nineteen thousand, two hundred forty-eight".