72953632 has 24 divisors (see below), whose sum is σ = 143920476. Its totient is φ = 36402432.

The previous prime is 72953623. The next prime is 72953641. The reversal of 72953632 is 23635927.

It is an interprime number because it is at equal distance from previous prime (72953623) and next prime (72953641).

It can be written as a sum of positive squares in 2 ways, for example, as 67174416 + 5779216 = 8196^2 + 2404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72953591 and 72953600.

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 3 ways as a sum of consecutive naturals, for example, 15778 + ... + 19870.

Almost surely, 2^72953632 is an apocalyptic number.

It is an amenable number.

72953632 is a deficient number, since it is larger than the sum of its proper divisors (70966844).

72953632 is a wasteful number, since it uses less digits than its factorization.

72953632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4652 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 72953632 is about 8541.2898323380. The cubic root of 72953632 is about 417.8454134079.

The spelling of 72953632 in words is "seventy-two million, nine hundred fifty-three thousand, six hundred thirty-two".