71888040 has 256 divisors, whose sum is σ = 282355200. Its totient is φ = 15925248.

The previous prime is 71888027. The next prime is 71888081. The reversal of 71888040 is 4088817.

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 = 71887986 and 71888004.

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 63 ways as a sum of consecutive naturals, for example, 279592 + ... + 279848.

It is an arithmetic number, because the mean of its divisors is an integer number (1102950).

Almost surely, 2^71888040 is an apocalyptic number.

71888040 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 71888040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141177600).

71888040 is an abundant number, since it is smaller than the sum of its proper divisors (210467160).

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

71888040 is a wasteful number, since it uses less digits than its factorization.

71888040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 71888040 is about 8478.6815012713. The cubic root of 71888040 is about 415.8010173864.

The spelling of 71888040 in words is "seventy-one million, eight hundred eighty-eight thousand, forty".