71473248 has 216 divisors, whose sum is σ = 256196304. Its totient is φ = 18501120.

The previous prime is 71473247. The next prime is 71473277. The reversal of 71473248 is 84237417.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71473243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243790 + ... + 244082.

It is an arithmetic number, because the mean of its divisors is an integer number (1186094).

Almost surely, 2^71473248 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 71473248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128098152).

71473248 is an abundant number, since it is smaller than the sum of its proper divisors (184723056).

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

71473248 is a wasteful number, since it uses less digits than its factorization.

71473248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 71473248 is about 8454.1852357279. The cubic root of 71473248 is about 414.9997541974. Note that the first 3 decimals are identical.

The spelling of 71473248 in words is "seventy-one million, four hundred seventy-three thousand, two hundred forty-eight".