72465840 has 200 divisors, whose sum is σ = 257648688. Its totient is φ = 18869760.

The previous prime is 72465839. The next prime is 72465851. The reversal of 72465840 is 4856427.

72465840 is a `hidden beast` number, since 72 + 4 + 6 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72465795 and 72465804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343335 + ... + 343545.

Almost surely, 2^72465840 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 72465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128824344).

72465840 is an abundant number, since it is smaller than the sum of its proper divisors (185182848).

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

72465840 is a wasteful number, since it uses less digits than its factorization.

72465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72465840 is about 8512.6870023513. The cubic root of 72465840 is about 416.9120460429.

It can be divided in two parts, 724 and 65840, that added together give a square (66564 = 258²).

The spelling of 72465840 in words is "seventy-two million, four hundred sixty-five thousand, eight hundred forty".