72632041 has 16 divisors (see below), whose sum is σ = 81734400. Its totient is φ = 64136448.

The previous prime is 72632023. The next prime is 72632051. The reversal of 72632041 is 14023627.

It is a cyclic number.

It is not a de Polignac number, because 72632041 - 2¹³ = 72623849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72631997 and 72632015.

It is not an unprimeable number, because it can be changed into a prime (72632051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34176 + ... + 36238.

It is an arithmetic number, because the mean of its divisors is an integer number (5108400).

Almost surely, 2^72632041 is an apocalyptic number.

It is an amenable number.

72632041 is a deficient number, since it is larger than the sum of its proper divisors (9102359).

72632041 is a wasteful number, since it uses less digits than its factorization.

72632041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72632041 is about 8522.4433703017. The cubic root of 72632041 is about 417.2305330848.

Adding to 72632041 its reverse (14023627), we get a palindrome (86655668).

The spelling of 72632041 in words is "seventy-two million, six hundred thirty-two thousand, forty-one".