72873360 has 240 divisors, whose sum is σ = 294802560. Its totient is φ = 15759360.

The previous prime is 72873331. The next prime is 72873371. The reversal of 72873360 is 6337827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95380 + ... + 96140.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^72873360 is an apocalyptic number.

72873360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

72873360 is an abundant number, since it is smaller than the sum of its proper divisors (221929200).

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

72873360 is a wasteful number, since it uses less digits than its factorization.

72873360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72873360 is about 8536.5894829258. The cubic root of 72873360 is about 417.6921032590.

It can be divided in two parts, 728 and 73360, that added together give a cube (74088 = 42³).

The spelling of 72873360 in words is "seventy-two million, eight hundred seventy-three thousand, three hundred sixty".