76242726 has 96 divisors (see below), whose sum is σ = 197121600. Its totient is φ = 21280896.

The previous prime is 76242713. The next prime is 76242757. The reversal of 76242726 is 62724267.

76242726 is a `hidden beast` number, since 7 + 624 + 2 + 7 + 26 = 666.

76242726 is a nontrivial binomial coefficient, being equal to C(12349, 2).

It is a super-2 number, since 2×76242726² = 11625906535822152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327106 + ... + 327338.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 2^76242726 is an apocalyptic number.

76242726 is the 12348-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76242726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98560800).

76242726 is an abundant number, since it is smaller than the sum of its proper divisors (120878874).

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

76242726 is a wasteful number, since it uses less digits than its factorization.

76242726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 76242726 is about 8731.7080803243. The cubic root of 76242726 is about 424.0328197866.

The spelling of 76242726 in words is "seventy-six million, two hundred forty-two thousand, seven hundred twenty-six".