71961480 has 128 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 18349056.

The previous prime is 71961479. The next prime is 71961481. The reversal of 71961480 is 8416917.

It is an interprime number because it is at equal distance from previous prime (71961479) and next prime (71961481).

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

It is not an unprimeable number, because it can be changed into a prime (71961481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23392 + ... + 26288.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^71961480 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 71961480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

71961480 is an abundant number, since it is smaller than the sum of its proper divisors (178425720).

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

71961480 is a wasteful number, since it uses less digits than its factorization.

71961480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2930 counting only the distinct ones).

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

The square root of 71961480 is about 8483.0112578023. The cubic root of 71961480 is about 415.9425617196.

The spelling of 71961480 in words is "seventy-one million, nine hundred sixty-one thousand, four hundred eighty".