72752553 has 32 divisors (see below), whose sum is σ = 110584320. Its totient is φ = 47258640.

The previous prime is 72752543. The next prime is 72752557. The reversal of 72752553 is 35525727.

It is a happy number.

It is not a de Polignac number, because 72752553 - 2⁵ = 72752521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72752557) 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 31 ways as a sum of consecutive naturals, for example, 236826 + ... + 237132.

It is an arithmetic number, because the mean of its divisors is an integer number (3455760).

Almost surely, 2^72752553 is an apocalyptic number.

It is an amenable number.

72752553 is a deficient number, since it is larger than the sum of its proper divisors (37831767).

72752553 is a wasteful number, since it uses less digits than its factorization.

72752553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 72752553 is about 8529.5107128135. The cubic root of 72752553 is about 417.4611636339.

The spelling of 72752553 in words is "seventy-two million, seven hundred fifty-two thousand, five hundred fifty-three".