71252435240 has 256 divisors, whose sum is σ = 198754560000. Its totient is φ = 22435725312.

The previous prime is 71252435237. The next prime is 71252435269. The reversal of 71252435240 is 4253425217.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 71252435240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33466496 + ... + 33468624.

It is an arithmetic number, because the mean of its divisors is an integer number (776385000).

Almost surely, 2^71252435240 is an apocalyptic number.

71252435240 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 71252435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99377280000).

71252435240 is an abundant number, since it is smaller than the sum of its proper divisors (127502124760).

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

71252435240 is a wasteful number, since it uses less digits than its factorization.

71252435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 71252435240 in words is "seventy-one billion, two hundred fifty-two million, four hundred thirty-five thousand, two hundred forty".