72507753 has 24 divisors (see below), whose sum is σ = 112252608. Its totient is φ = 44982432.

The previous prime is 72507751. The next prime is 72507769. The reversal of 72507753 is 35770527.

It is not a de Polignac number, because 72507753 - 2¹ = 72507751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72507751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2926 + ... + 12392.

It is an arithmetic number, because the mean of its divisors is an integer number (4677192).

Almost surely, 2^72507753 is an apocalyptic number.

It is an amenable number.

72507753 is a deficient number, since it is larger than the sum of its proper divisors (39744855).

72507753 is a wasteful number, since it uses less digits than its factorization.

72507753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 72507753 is about 8515.1484426286. The cubic root of 72507753 is about 416.9924088123.

The spelling of 72507753 in words is "seventy-two million, five hundred seven thousand, seven hundred fifty-three".