72141975 has 24 divisors (see below), whose sum is σ = 132528720. Its totient is φ = 38475360.

The previous prime is 72141967. The next prime is 72141997. The reversal of 72141975 is 57914127.

It is a happy number.

It is not a de Polignac number, because 72141975 - 2³ = 72141967 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52764 + ... + 54113.

It is an arithmetic number, because the mean of its divisors is an integer number (5522030).

Almost surely, 2^72141975 is an apocalyptic number.

72141975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72141975 is a deficient number, since it is larger than the sum of its proper divisors (60386745).

72141975 is a wasteful number, since it uses less digits than its factorization.

72141975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106896 (or 106885 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 72141975 is about 8493.6432112492. The cubic root of 72141975 is about 416.2900294269.

The spelling of 72141975 in words is "seventy-two million, one hundred forty-one thousand, nine hundred seventy-five".