71749125 has 64 divisors (see below), whose sum is σ = 151656960. Its totient is φ = 32788800.

The previous prime is 71749123. The next prime is 71749127. The reversal of 71749125 is 52194717.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71749123) and next prime (71749127).

It is not a de Polignac number, because 71749125 - 2¹ = 71749123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71749125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71749123) 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 63 ways as a sum of consecutive naturals, for example, 22107 + ... + 25143.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^71749125 is an apocalyptic number.

71749125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71749125 is an abundant number, since it is smaller than the sum of its proper divisors (79907835).

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

71749125 is a wasteful number, since it uses less digits than its factorization.

71749125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3052 counting only the distinct ones).

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

The square root of 71749125 is about 8470.4855232743. The cubic root of 71749125 is about 415.5330161829.

The spelling of 71749125 in words is "seventy-one million, seven hundred forty-nine thousand, one hundred twenty-five".