72753417 has 32 divisors (see below), whose sum is σ = 118056960. Its totient is φ = 43914960.

The previous prime is 72753409. The next prime is 72753449. The reversal of 72753417 is 71435727.

It is not a de Polignac number, because 72753417 - 2³ = 72753409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753517) 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, 144388 + ... + 144890.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2^72753417 is an apocalyptic number.

It is an amenable number.

72753417 is a deficient number, since it is larger than the sum of its proper divisors (45303543).

72753417 is a wasteful number, since it uses less digits than its factorization.

72753417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 72753417 is about 8529.5613603514. The cubic root of 72753417 is about 417.4628161991.

The spelling of 72753417 in words is "seventy-two million, seven hundred fifty-three thousand, four hundred seventeen".