71148672 has 256 divisors, whose sum is σ = 255571200. Its totient is φ = 19021824.

The previous prime is 71148667. The next prime is 71148677. The reversal of 71148672 is 27684117.

It is an interprime number because it is at equal distance from previous prime (71148667) and next prime (71148677).

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 not an unprimeable number, because it can be changed into a prime (71148677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411178 + ... + 411350.

It is an arithmetic number, because the mean of its divisors is an integer number (998325).

Almost surely, 2^71148672 is an apocalyptic number.

71148672 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 71148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

71148672 is an abundant number, since it is smaller than the sum of its proper divisors (184422528).

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

71148672 is a wasteful number, since it uses less digits than its factorization.

71148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71148672 is about 8434.9672198533. The cubic root of 71148672 is about 414.3705986306.

The spelling of 71148672 in words is "seventy-one million, one hundred forty-eight thousand, six hundred seventy-two".