72968007 has 12 divisors (see below), whose sum is σ = 113175096. Its totient is φ = 41695920.

The previous prime is 72967969. The next prime is 72968009. The reversal of 72968007 is 70086927.

It is not a de Polignac number, because 72968007 - 2¹² = 72963911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72968009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248044 + ... + 248337.

It is an arithmetic number, because the mean of its divisors is an integer number (9431258).

Almost surely, 2^72968007 is an apocalyptic number.

72968007 is a deficient number, since it is larger than the sum of its proper divisors (40207089).

72968007 is a wasteful number, since it uses less digits than its factorization.

72968007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496398 (or 496391 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 72968007 is about 8542.1312914284. The cubic root of 72968007 is about 417.8728561053.

The spelling of 72968007 in words is "seventy-two million, nine hundred sixty-eight thousand, seven".