72983040 has 320 divisors, whose sum is σ = 272232576. Its totient is φ = 16515072.

The previous prime is 72983039. The next prime is 72983041. The reversal of 72983040 is 4038927.

It is an interprime number because it is at equal distance from previous prime (72983039) and next prime (72983041).

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 72982992 and 72983010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72983041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1697259 + ... + 1697301.

Almost surely, 2^72983040 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 72983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

72983040 is an abundant number, since it is smaller than the sum of its proper divisors (199249536).

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

72983040 is a wasteful number, since it uses less digits than its factorization.

72983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72983040 is about 8543.0111787355. The cubic root of 72983040 is about 417.9015511072.

The spelling of 72983040 in words is "seventy-two million, nine hundred eighty-three thousand, forty".