71613720 has 240 divisors, whose sum is σ = 259530480. Its totient is φ = 17677440.

The previous prime is 71613701. The next prime is 71613727. The reversal of 71613720 is 2731617.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71613727) 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 59 ways as a sum of consecutive naturals, for example, 2310105 + ... + 2310135.

It is an arithmetic number, because the mean of its divisors is an integer number (1081377).

Almost surely, 2^71613720 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 71613720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129765240).

71613720 is an abundant number, since it is smaller than the sum of its proper divisors (187916760).

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

71613720 is a wasteful number, since it uses less digits than its factorization.

71613720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71613720 is about 8462.4889955615. The cubic root of 71613720 is about 415.2714535050.

The spelling of 71613720 in words is "seventy-one million, six hundred thirteen thousand, seven hundred twenty".