71955940 has 48 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 24592896.

The previous prime is 71955913. The next prime is 71955941. The reversal of 71955940 is 4955917.

It is a junction number, because it is equal to n+sod(n) for n = 71955893 and 71955902.

It is not an unprimeable number, because it can be changed into a prime (71955941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60027 + ... + 61213.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^71955940 is an apocalyptic number.

71955940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71955940 is an abundant number, since it is smaller than the sum of its proper divisors (101282972).

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

71955940 is a wasteful number, since it uses less digits than its factorization.

71955940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 71955940 is about 8482.6847165270. The cubic root of 71955940 is about 415.9318875787.

The spelling of 71955940 in words is "seventy-one million, nine hundred fifty-five thousand, nine hundred forty".