72512467523037 has 24 divisors (see below), whose sum is σ = 110901837454200. Its totient is φ = 45497847951360.

The previous prime is 72512467523029. The next prime is 72512467523057. The reversal of 72512467523037 is 73032576421527.

It is a happy number.

72512467523037 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 24 + 67 + 523 + 0 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24208702614756 + 48303764908281 = 4920234^2 + 6950091^2 .

It is not a de Polignac number, because 72512467523037 - 2³ = 72512467523029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512467523057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49138839 + ... + 50592987.

It is an arithmetic number, because the mean of its divisors is an integer number (4620909893925).

Almost surely, 2^{72512467523037} is an apocalyptic number.

It is an amenable number.

72512467523037 is a deficient number, since it is larger than the sum of its proper divisors (38389369931163).

72512467523037 is a wasteful number, since it uses less digits than its factorization.

72512467523037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780093 (or 1780090 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 72512467523037 in words is "seventy-two trillion, five hundred twelve billion, four hundred sixty-seven million, five hundred twenty-three thousand, thirty-seven".