72749826 has 56 divisors (see below), whose sum is σ = 167740524. Its totient is φ = 23639040.

The previous prime is 72749819. The next prime is 72749857. The reversal of 72749826 is 62894727.

It can be written as a sum of positive squares in 2 ways, for example, as 63441225 + 9308601 = 7965^2 + 3051^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59170 + ... + 60386.

Almost surely, 2^72749826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72749826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83870262).

72749826 is an abundant number, since it is smaller than the sum of its proper divisors (94990698).

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

72749826 is a wasteful number, since it uses less digits than its factorization.

72749826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1263 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72749826 is about 8529.3508545492. The cubic root of 72749826 is about 417.4559476390.

The spelling of 72749826 in words is "seventy-two million, seven hundred forty-nine thousand, eight hundred twenty-six".