73751040 has 320 divisors, whose sum is σ = 288731520. Its totient is φ = 17694720.

The previous prime is 73751039. The next prime is 73751047. The reversal of 73751040 is 4015737.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 73750995 and 73751013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73751047) 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, 760272 + ... + 760368.

It is an arithmetic number, because the mean of its divisors is an integer number (902286).

Almost surely, 2^73751040 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 73751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

73751040 is an abundant number, since it is smaller than the sum of its proper divisors (214980480).

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

73751040 is a wasteful number, since it uses less digits than its factorization.

73751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 73751040 is about 8587.8425695864. The cubic root of 73751040 is about 419.3622975476.

Adding to 73751040 its reverse (4015737), we get a palindrome (77766777).

The spelling of 73751040 in words is "seventy-three million, seven hundred fifty-one thousand, forty".