71787936 has 96 divisors (see below), whose sum is σ = 207361728. Its totient is φ = 21565440.

The previous prime is 71787931. The next prime is 71787943. The reversal of 71787936 is 63978717.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71787931) 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 15 ways as a sum of consecutive naturals, for example, 165576 + ... + 166008.

It is an arithmetic number, because the mean of its divisors is an integer number (2160018).

Almost surely, 2^71787936 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 71787936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680864).

71787936 is an abundant number, since it is smaller than the sum of its proper divisors (135573792).

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

71787936 is a wasteful number, since it uses less digits than its factorization.

71787936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The square root of 71787936 is about 8472.7761684114. The cubic root of 71787936 is about 415.6079269449.

The spelling of 71787936 in words is "seventy-one million, seven hundred eighty-seven thousand, nine hundred thirty-six".