72767742 has 8 divisors (see below), whose sum is σ = 145535496. Its totient is φ = 24255912.

The previous prime is 72767741. The next prime is 72767813. The reversal of 72767742 is 24776727.

It is a sphenic number, since it is the product of 3 distinct primes.

72767742 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 72767694 and 72767703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72767741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6063973 + ... + 6063984.

It is an arithmetic number, because the mean of its divisors is an integer number (18191937).

Almost surely, 2^72767742 is an apocalyptic number.

72767742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72767742 is a wasteful number, since it uses less digits than its factorization.

72767742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127962.

The product of its digits is 230496, while the sum is 42.

The square root of 72767742 is about 8530.4010456719. The cubic root of 72767742 is about 417.4902135945.

The spelling of 72767742 in words is "seventy-two million, seven hundred sixty-seven thousand, seven hundred forty-two".