72626742 has 48 divisors (see below), whose sum is σ = 162759168. Its totient is φ = 23390640.

The previous prime is 72626717. The next prime is 72626747. The reversal of 72626742 is 24762627.

It is a junction number, because it is equal to n+sod(n) for n = 72626697 and 72626706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72626747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79267 + ... + 80177.

It is an arithmetic number, because the mean of its divisors is an integer number (3390816).

Almost surely, 2^72626742 is an apocalyptic number.

72626742 is an abundant number, since it is smaller than the sum of its proper divisors (90132426).

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

72626742 is a wasteful number, since it uses less digits than its factorization.

72626742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

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

The square root of 72626742 is about 8522.1324796086. The cubic root of 72626742 is about 417.2203862389.

The spelling of 72626742 in words is "seventy-two million, six hundred twenty-six thousand, seven hundred forty-two".