72479736 has 96 divisors (see below), whose sum is σ = 231628800. Its totient is φ = 20036160.

The previous prime is 72479717. The next prime is 72479741. The reversal of 72479736 is 63797427.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72479691 and 72479700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13305 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (2412800).

Almost surely, 2^72479736 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 72479736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115814400).

72479736 is an abundant number, since it is smaller than the sum of its proper divisors (159149064).

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

72479736 is a wasteful number, since it uses less digits than its factorization.

72479736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4682 counting only the distinct ones).

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

The square root of 72479736 is about 8513.5031567505. The cubic root of 72479736 is about 416.9386932628.

The spelling of 72479736 in words is "seventy-two million, four hundred seventy-nine thousand, seven hundred thirty-six".