72805376 has 66 divisors (see below), whose sum is σ = 169417908. Its totient is φ = 31180800.

The previous prime is 72805367. The next prime is 72805409. The reversal of 72805376 is 67350827.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49451 + ... + 50901.

It is an arithmetic number, because the mean of its divisors is an integer number (2566938).

Almost surely, 2^72805376 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 72805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84708954).

72805376 is an abundant number, since it is smaller than the sum of its proper divisors (96612532).

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

72805376 is a wasteful number, since it uses less digits than its factorization.

72805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 72805376 is about 8532.6066357239. The cubic root of 72805376 is about 417.5621736802.

The spelling of 72805376 in words is "seventy-two million, eight hundred five thousand, three hundred seventy-six".