71619840 has 108 divisors (see below), whose sum is σ = 247837044. Its totient is φ = 19095552.

The previous prime is 71619833. The next prime is 71619841. The reversal of 71619840 is 4891617.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 32080896 = 6288^2 + 5664^2 .

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 = 71619795 and 71619804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71619841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8412 + ... + 14628.

Almost surely, 2^71619840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123918522).

71619840 is an abundant number, since it is smaller than the sum of its proper divisors (176217204).

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

71619840 is a wasteful number, since it uses less digits than its factorization.

71619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71619840 is about 8462.8505835800. The cubic root of 71619840 is about 415.2832826577.

The spelling of 71619840 in words is "seventy-one million, six hundred nineteen thousand, eight hundred forty".