71653725 has 144 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 29952000.

The previous prime is 71653669. The next prime is 71653739. The reversal of 71653725 is 52735617.

It is not a de Polignac number, because 71653725 - 2¹¹ = 71651677 is a prime.

Its product of digits (44100) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 71653725.

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 143 ways as a sum of consecutive naturals, for example, 546910 + ... + 547040.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^71653725 is an apocalyptic number.

71653725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71653725 is an abundant number, since it is smaller than the sum of its proper divisors (89210979).

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

71653725 is a wasteful number, since it uses less digits than its factorization.

71653725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 71653725 is about 8464.8523318484. The cubic root of 71653725 is about 415.3487657016.

It can be divided in two parts, 71 and 653725, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 71653725 in words is "seventy-one million, six hundred fifty-three thousand, seven hundred twenty-five".