71925840 has 320 divisors, whose sum is σ = 291409920. Its totient is φ = 15966720.

The previous prime is 71925809. The next prime is 71925851. The reversal of 71925840 is 4852917.

71925840 is a `hidden beast` number, since 71 + 9 + 2 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71925795 and 71925804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1013005 + ... + 1013075.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^71925840 is an apocalyptic number.

71925840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

71925840 is an abundant number, since it is smaller than the sum of its proper divisors (219484080).

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

71925840 is a wasteful number, since it uses less digits than its factorization.

71925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71925840 is about 8480.9103284966. The cubic root of 71925840 is about 415.8738831207.

The spelling of 71925840 in words is "seventy-one million, nine hundred twenty-five thousand, eight hundred forty".