72688754 has 16 divisors (see below), whose sum is σ = 110170368. Its totient is φ = 35967552.

The previous prime is 72688741. The next prime is 72688783. The reversal of 72688754 is 45788627.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72688699 and 72688708.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122282 + ... + 122874.

It is an arithmetic number, because the mean of its divisors is an integer number (6885648).

Almost surely, 2^72688754 is an apocalyptic number.

72688754 is a deficient number, since it is larger than the sum of its proper divisors (37481614).

72688754 is a wasteful number, since it uses less digits than its factorization.

72688754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129.

The product of its digits is 752640, while the sum is 47.

The square root of 72688754 is about 8525.7699945518. The cubic root of 72688754 is about 417.3390996752.

The spelling of 72688754 in words is "seventy-two million, six hundred eighty-eight thousand, seven hundred fifty-four".