76729743 has 24 divisors (see below), whose sum is σ = 116588160. Its totient is φ = 48559680.

The previous prime is 76729729. The next prime is 76729769. The reversal of 76729743 is 34792767.

It is a happy number.

It is not a de Polignac number, because 76729743 - 2⁵ = 76729711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76729343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12193 + ... + 17381.

It is an arithmetic number, because the mean of its divisors is an integer number (4857840).

Almost surely, 2^76729743 is an apocalyptic number.

76729743 is a deficient number, since it is larger than the sum of its proper divisors (39858417).

76729743 is a wasteful number, since it uses less digits than its factorization.

76729743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5276 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 76729743 is about 8759.5515296161. The cubic root of 76729743 is about 424.9337714563.

The spelling of 76729743 in words is "seventy-six million, seven hundred twenty-nine thousand, seven hundred forty-three".