72805410 has 48 divisors (see below), whose sum is σ = 192516480. Its totient is φ = 19084320.

The previous prime is 72805409. The next prime is 72805451. The reversal of 72805410 is 1450827.

It is a Curzon 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, 1546 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (4010760).

Almost surely, 2^72805410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72805410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96258240).

72805410 is an abundant number, since it is smaller than the sum of its proper divisors (119711070).

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

72805410 is a wasteful number, since it uses less digits than its factorization.

72805410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72805410 is about 8532.6086280809. The cubic root of 72805410 is about 417.5622386805.

The spelling of 72805410 in words is "seventy-two million, eight hundred five thousand, four hundred ten".