71983275 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 29652480.

The previous prime is 71983237. The next prime is 71983277. The reversal of 71983275 is 57238917.

It is not a de Polignac number, because 71983275 - 2⁹ = 71982763 is a prime.

Its product of digits (105840) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71983277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361626 + ... + 361824.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^71983275 is an apocalyptic number.

71983275 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71983275 is an abundant number, since it is smaller than the sum of its proper divisors (78007125).

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

71983275 is a wasteful number, since it uses less digits than its factorization.

71983275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 71983275 is about 8484.2957869230. The cubic root of 71983275 is about 415.9845497066.

The spelling of 71983275 in words is "seventy-one million, nine hundred eighty-three thousand, two hundred seventy-five".