72753972 has 12 divisors (see below), whose sum is σ = 169759296. Its totient is φ = 24251320.

The previous prime is 72753971. The next prime is 72754039. The reversal of 72753972 is 27935727.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72753971) 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 3 ways as a sum of consecutive naturals, for example, 3031404 + ... + 3031427.

It is an arithmetic number, because the mean of its divisors is an integer number (14146608).

Almost surely, 2^72753972 is an apocalyptic number.

It is an amenable number.

72753972 is an abundant number, since it is smaller than the sum of its proper divisors (97005324).

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

72753972 is a wasteful number, since it uses less digits than its factorization.

72753972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062838 (or 6062836 counting only the distinct ones).

The product of its digits is 185220, while the sum is 42.

The square root of 72753972 is about 8529.5938942015. The cubic root of 72753972 is about 417.4638777358.

The spelling of 72753972 in words is "seventy-two million, seven hundred fifty-three thousand, nine hundred seventy-two".