76288536 has 96 divisors (see below), whose sum is σ = 216936720. Its totient is φ = 24192000.

The previous prime is 76288529. The next prime is 76288543. The reversal of 76288536 is 63588267.

It is an interprime number because it is at equal distance from previous prime (76288529) and next prime (76288543).

It is a junction number, because it is equal to n+sod(n) for n = 76288491 and 76288500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126636 + ... + 127236.

Almost surely, 2^76288536 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 76288536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108468360).

76288536 is an abundant number, since it is smaller than the sum of its proper divisors (140648184).

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

76288536 is a wasteful number, since it uses less digits than its factorization.

76288536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 76288536 is about 8734.3308845040. The cubic root of 76288536 is about 424.1177286705.

It can be divided in two parts, 762 and 88536, that added together give a palindrome (89298).

The spelling of 76288536 in words is "seventy-six million, two hundred eighty-eight thousand, five hundred thirty-six".