71625960 has 192 divisors, whose sum is σ = 272638080. Its totient is φ = 15966720.

The previous prime is 71625959. The next prime is 71625973. The reversal of 71625960 is 6952617.

71625960 is a `hidden beast` number, since 7 + 1 + 62 + 596 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108030 + ... + 108690.

It is an arithmetic number, because the mean of its divisors is an integer number (1419990).

Almost surely, 2^71625960 is an apocalyptic number.

71625960 is a gapful number since it is divisible by the number (70) 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 71625960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136319040).

71625960 is an abundant number, since it is smaller than the sum of its proper divisors (201012120).

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

71625960 is a wasteful number, since it uses less digits than its factorization.

71625960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 71625960 is about 8463.2121561497. The cubic root of 71625960 is about 415.2951111366.

The spelling of 71625960 in words is "seventy-one million, six hundred twenty-five thousand, nine hundred sixty".