73125840 has 80 divisors (see below), whose sum is σ = 240038208. Its totient is φ = 18352128.

The previous prime is 73125799. The next prime is 73125841. The reversal of 73125840 is 4852137.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73125798 and 73125807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73125841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4882 + ... + 13041.

Almost surely, 2^73125840 is an apocalyptic number.

It is an amenable number.

73125840 is an abundant number, since it is smaller than the sum of its proper divisors (166912368).

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

73125840 is a wasteful number, since it uses less digits than its factorization.

73125840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17956 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 73125840 is about 8551.3648033516. The cubic root of 73125840 is about 418.1739315692.

Adding to 73125840 its reverse (4852137), we get a palindrome (77977977).

The spelling of 73125840 in words is "seventy-three million, one hundred twenty-five thousand, eight hundred forty".