72646007 has 8 divisors (see below), whose sum is σ = 83191200. Its totient is φ = 62142624.

The previous prime is 72645997. The next prime is 72646009. The reversal of 72646007 is 70064627.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 72646007 - 2⁶ = 72645943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6632 + ... + 13757.

It is an arithmetic number, because the mean of its divisors is an integer number (10398900).

Almost surely, 2^72646007 is an apocalyptic number.

72646007 is a deficient number, since it is larger than the sum of its proper divisors (10545193).

72646007 is a wasteful number, since it uses less digits than its factorization.

72646007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20905.

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 72646007 is about 8523.2626968785. The cubic root of 72646007 is about 417.2572736623.

The spelling of 72646007 in words is "seventy-two million, six hundred forty-six thousand, seven".