71725920 has 96 divisors (see below), whose sum is σ = 258225408. Its totient is φ = 16393728.

The previous prime is 71725889. The next prime is 71725957. The reversal of 71725920 is 2952717.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7314 + ... + 14033.

It is an arithmetic number, because the mean of its divisors is an integer number (2689848).

Almost surely, 2^71725920 is an apocalyptic number.

71725920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71725920 is an abundant number, since it is smaller than the sum of its proper divisors (186499488).

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

71725920 is a wasteful number, since it uses less digits than its factorization.

71725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21372 (or 21364 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 71725920 is about 8469.1156563126. The cubic root of 71725920 is about 415.4882143202.

The spelling of 71725920 in words is "seventy-one million, seven hundred twenty-five thousand, nine hundred twenty".