72746544 has 80 divisors (see below), whose sum is σ = 205285472. Its totient is φ = 22063104.

The previous prime is 72746543. The next prime is 72746579. The reversal of 72746544 is 44564727.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (72746543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44754 + ... + 46350.

Almost surely, 2^72746544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72746544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102642736).

72746544 is an abundant number, since it is smaller than the sum of its proper divisors (132538928).

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

72746544 is a wasteful number, since it uses less digits than its factorization.

72746544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 72746544 is about 8529.1584579019. The cubic root of 72746544 is about 417.4496699103.

The spelling of 72746544 in words is "seventy-two million, seven hundred forty-six thousand, five hundred forty-four".