71958240 has 96 divisors (see below), whose sum is σ = 251868960. Its totient is φ = 19187712.

The previous prime is 71958197. The next prime is 71958241. The reversal of 71958240 is 4285917.

71958240 is a `hidden beast` number, since 71 + 9 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 71958195 and 71958204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71958241) 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, 4009 + ... + 12648.

It is an arithmetic number, because the mean of its divisors is an integer number (2623635).

Almost surely, 2^71958240 is an apocalyptic number.

It is an amenable number.

71958240 is an abundant number, since it is smaller than the sum of its proper divisors (179910720).

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

71958240 is a wasteful number, since it uses less digits than its factorization.

71958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16681 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71958240 is about 8482.8202857304. The cubic root of 71958240 is about 415.9363191478.

The spelling of 71958240 in words is "seventy-one million, nine hundred fifty-eight thousand, two hundred forty".