71249472 has 168 divisors, whose sum is σ = 239645952. Its totient is φ = 19814400.

The previous prime is 71249467. The next prime is 71249557. The reversal of 71249472 is 27494217.

It is a tau number, because it is divible by the number of its divisors (168).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165097 + ... + 165527.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^71249472 is an apocalyptic number.

71249472 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 71249472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

71249472 is an abundant number, since it is smaller than the sum of its proper divisors (168396480).

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

71249472 is a wasteful number, since it uses less digits than its factorization.

71249472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 71249472 is about 8440.9402319884. The cubic root of 71249472 is about 414.5661930362.

The spelling of 71249472 in words is "seventy-one million, two hundred forty-nine thousand, four hundred seventy-two".