72975040 has 56 divisors (see below), whose sum is σ = 175637952. Its totient is φ = 28876800.

The previous prime is 72975031. The next prime is 72975043. The reversal of 72975040 is 4057927.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72974987 and 72975005.

It is not an unprimeable number, because it can be changed into a prime (72975043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29865 + ... + 32215.

It is an arithmetic number, because the mean of its divisors is an integer number (3136392).

Almost surely, 2^72975040 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 72975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87818976).

72975040 is an abundant number, since it is smaller than the sum of its proper divisors (102662912).

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

72975040 is a wasteful number, since it uses less digits than its factorization.

72975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72975040 is about 8542.5429469216. The cubic root of 72975040 is about 417.8862811916.

The spelling of 72975040 in words is "seventy-two million, nine hundred seventy-five thousand, forty".