67765536 has 72 divisors (see below), whose sum is σ = 204058764. Its totient is φ = 21258240.

The previous prime is 67765517. The next prime is 67765541. The reversal of 67765536 is 63556776.

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 197136 = 8220^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 67765491 and 67765500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 11816.

Almost surely, 2^67765536 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 67765536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102029382).

67765536 is an abundant number, since it is smaller than the sum of its proper divisors (136293228).

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

67765536 is a wasteful number, since it uses less digits than its factorization.

67765536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13874 (or 13863 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 67765536 is about 8231.9825072700. The cubic root of 67765536 is about 407.6958517569.

The spelling of 67765536 in words is "sixty-seven million, seven hundred sixty-five thousand, five hundred thirty-six".