71612640 has 288 divisors, whose sum is σ = 277512480. Its totient is φ = 17233920.

The previous prime is 71612623. The next prime is 71612641. The reversal of 71612640 is 4621617.

71612640 is a `hidden beast` number, since 7 + 1 + 6 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (71612641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522652 + ... + 522788.

It is an arithmetic number, because the mean of its divisors is an integer number (963585).

Almost surely, 2^71612640 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 71612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138756240).

71612640 is an abundant number, since it is smaller than the sum of its proper divisors (205899840).

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

71612640 is a wasteful number, since it uses less digits than its factorization.

71612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71612640 is about 8462.4251843074. The cubic root of 71612640 is about 415.2693659375.

It can be divided in two parts, 7161 and 2640, that added together give a square (9801 = 99²).

The spelling of 71612640 in words is "seventy-one million, six hundred twelve thousand, six hundred forty".