72753951 has 16 divisors (see below), whose sum is σ = 100011744. Its totient is φ = 47009664.

The previous prime is 72753949. The next prime is 72753971. The reversal of 72753951 is 15935727.

It is not a de Polignac number, because 72753951 - 2¹ = 72753949 is a prime.

It is a super-2 number, since 2×72753951² = 10586274772220802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31405 + ... + 33641.

It is an arithmetic number, because the mean of its divisors is an integer number (6250734).

Almost surely, 2^72753951 is an apocalyptic number.

72753951 is a deficient number, since it is larger than the sum of its proper divisors (27257793).

72753951 is a wasteful number, since it uses less digits than its factorization.

72753951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570.

The product of its digits is 66150, while the sum is 39.

The square root of 72753951 is about 8529.5926631932. The cubic root of 72753951 is about 417.4638375697.

The spelling of 72753951 in words is "seventy-two million, seven hundred fifty-three thousand, nine hundred fifty-one".