71442756 has 192 divisors, whose sum is σ = 236113920. Its totient is φ = 18295200.

The previous prime is 71442751. The next prime is 71442779. The reversal of 71442756 is 65724417.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71442756.

It is not an unprimeable number, because it can be changed into a prime (71442751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006201 + ... + 1006271.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 2^71442756 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 71442756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

71442756 is an abundant number, since it is smaller than the sum of its proper divisors (164671164).

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

71442756 is a wasteful number, since it uses less digits than its factorization.

71442756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 71442756 is about 8452.3816761904. The cubic root of 71442756 is about 414.9407299107.

It can be divided in two parts, 71442 and 756, that multiplied together give a cube (54010152 = 378³).

The spelling of 71442756 in words is "seventy-one million, four hundred forty-two thousand, seven hundred fifty-six".