72997407 has 18 divisors (see below), whose sum is σ = 122656248. Its totient is φ = 41712552.

The previous prime is 72997399. The next prime is 72997427. The reversal of 72997407 is 70479927.

It is a happy number.

It is not a de Polignac number, because 72997407 - 2³ = 72997399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72997427) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82323 + ... + 83204.

It is an arithmetic number, because the mean of its divisors is an integer number (6814236).

Almost surely, 2^72997407 is an apocalyptic number.

72997407 is a deficient number, since it is larger than the sum of its proper divisors (49658841).

72997407 is a wasteful number, since it uses less digits than its factorization.

72997407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165547 (or 165537 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 72997407 is about 8543.8520001227. The cubic root of 72997407 is about 417.9289711656.

It can be divided in two parts, 7299 and 7407, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 72997407 in words is "seventy-two million, nine hundred ninety-seven thousand, four hundred seven".