71256780 has 144 divisors (see below), whose sum is σ = 257977440. Its totient is φ = 16281216.

The previous prime is 71256769. The next prime is 71256791. The reversal of 71256780 is 8765217.

71256780 is a `hidden beast` number, since 7 + 12 + 567 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (71256769) and next prime (71256791).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25114 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (1791510).

Almost surely, 2^71256780 is an apocalyptic number.

71256780 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 71256780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128988720).

71256780 is an abundant number, since it is smaller than the sum of its proper divisors (186720660).

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

71256780 is a wasteful number, since it uses less digits than its factorization.

71256780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 71256780 is about 8441.3731110525. The cubic root of 71256780 is about 414.5803664566.

The spelling of 71256780 in words is "seventy-one million, two hundred fifty-six thousand, seven hundred eighty".