72032001 has 8 divisors (see below), whose sum is σ = 96122880. Its totient is φ = 47981232.

The previous prime is 72031991. The next prime is 72032011. The reversal of 72032001 is 10023027.

It is an interprime number because it is at equal distance from previous prime (72031991) and next prime (72032011).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72032001 - 2⁶ = 72031937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72032011) 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, 5550 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (12015360).

Almost surely, 2^72032001 is an apocalyptic number.

It is an amenable number.

72032001 is a deficient number, since it is larger than the sum of its proper divisors (24090879).

72032001 is a wasteful number, since it uses less digits than its factorization.

72032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72032001 is about 8487.1668417676. The cubic root of 72032001 is about 416.0783895207.

Adding to 72032001 its reverse (10023027), we get a palindrome (82055028).

The spelling of 72032001 in words is "seventy-two million, thirty-two thousand, one".