72638000 has 40 divisors (see below), whose sum is σ = 175643520. Its totient is φ = 29054400.

The previous prime is 72637997. The next prime is 72638009. The reversal of 72638000 is 83627.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (72638009) 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 7 ways as a sum of consecutive naturals, for example, 16160 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (4391088).

Almost surely, 2^72638000 is an apocalyptic number.

It is an amenable number.

72638000 is an abundant number, since it is smaller than the sum of its proper divisors (103005520).

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

72638000 is a wasteful number, since it uses less digits than its factorization.

72638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36342 (or 36326 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 72638000 is about 8522.7929694438. The cubic root of 72638000 is about 417.2419431490.

The spelling of 72638000 in words is "seventy-two million, six hundred thirty-eight thousand".