71920240 has 80 divisors (see below), whose sum is σ = 195076800. Its totient is φ = 24648960.

The previous prime is 71920229. The next prime is 71920249. The reversal of 71920240 is 4202917.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71920249) 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 15 ways as a sum of consecutive naturals, for example, 26130 + ... + 28750.

It is an arithmetic number, because the mean of its divisors is an integer number (2438460).

Almost surely, 2^71920240 is an apocalyptic number.

71920240 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 71920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97538400).

71920240 is an abundant number, since it is smaller than the sum of its proper divisors (123156560).

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

71920240 is a wasteful number, since it uses less digits than its factorization.

71920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 71920240 is about 8480.5801688328. The cubic root of 71920240 is about 415.8630898082.

The spelling of 71920240 in words is "seventy-one million, nine hundred twenty thousand, two hundred forty".