71425872 has 120 divisors (see below), whose sum is σ = 232514880. Its totient is φ = 20044800.

The previous prime is 71425843. The next prime is 71425877. The reversal of 71425872 is 27852417.

71425872 is a `hidden beast` number, since 71 + 4 + 2 + 587 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71425877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58872 + ... + 60072.

It is an arithmetic number, because the mean of its divisors is an integer number (1937624).

Almost surely, 2^71425872 is an apocalyptic number.

71425872 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 71425872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116257440).

71425872 is an abundant number, since it is smaller than the sum of its proper divisors (161089008).

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

71425872 is a wasteful number, since it uses less digits than its factorization.

71425872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 71425872 is about 8451.3828454283. The cubic root of 71425872 is about 414.9080398166.

The spelling of 71425872 in words is "seventy-one million, four hundred twenty-five thousand, eight hundred seventy-two".