72583040 has 128 divisors (see below), whose sum is σ = 188006400. Its totient is φ = 26707968.

The previous prime is 72583037. The next prime is 72583051. The reversal of 72583040 is 4038527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 72582994 and 72583012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571457 + ... + 571583.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^72583040 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 72583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

72583040 is an abundant number, since it is smaller than the sum of its proper divisors (115423360).

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

72583040 is a wasteful number, since it uses less digits than its factorization.

72583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 72583040 is about 8519.5680641685. The cubic root of 72583040 is about 417.1366841789.

The spelling of 72583040 in words is "seventy-two million, five hundred eighty-three thousand, forty".