72059040 has 144 divisors (see below), whose sum is σ = 248215968. Its totient is φ = 19035648.

The previous prime is 72059033. The next prime is 72059051. The reversal of 72059040 is 4095027.

72059040 is a `hidden beast` number, since 72 + 0 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 72058995 and 72059013.

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, 234567 + ... + 234873.

It is an arithmetic number, because the mean of its divisors is an integer number (1723722).

Almost surely, 2^72059040 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 72059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124107984).

72059040 is an abundant number, since it is smaller than the sum of its proper divisors (176156928).

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

72059040 is a wasteful number, since it uses less digits than its factorization.

72059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72059040 is about 8488.7596267064. The cubic root of 72059040 is about 416.1304447925.

The spelling of 72059040 in words is "seventy-two million, fifty-nine thousand, forty".