72375642 has 12 divisors (see below), whose sum is σ = 156813930. Its totient is φ = 24125208.

The previous prime is 72375637. The next prime is 72375643. The reversal of 72375642 is 24657327.

It is a happy number.

72375642 is a `hidden beast` number, since 7 + 2 + 3 + 7 + 5 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64304361 + 8071281 = 8019^2 + 2841^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72375597 and 72375606.

It is not an unprimeable number, because it can be changed into a prime (72375643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2010417 + ... + 2010452.

Almost surely, 2^72375642 is an apocalyptic number.

72375642 is an abundant number, since it is smaller than the sum of its proper divisors (84438288).

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

72375642 is a wasteful number, since it uses less digits than its factorization.

72375642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020877 (or 4020874 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72375642 is about 8507.3874955829. The cubic root of 72375642 is about 416.7389978607.

The spelling of 72375642 in words is "seventy-two million, three hundred seventy-five thousand, six hundred forty-two".