72400907 has 8 divisors (see below), whose sum is σ = 75026640. Its totient is φ = 69783840.

The previous prime is 72400891. The next prime is 72400919. The reversal of 72400907 is 70900427.

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 72400907 - 2⁴ = 72400891 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72400907.

It is not an unprimeable number, because it can be changed into a prime (72400927) 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, 18233 + ... + 21845.

It is an arithmetic number, because the mean of its divisors is an integer number (9378330).

Almost surely, 2^72400907 is an apocalyptic number.

72400907 is a deficient number, since it is larger than the sum of its proper divisors (2625733).

72400907 is a wasteful number, since it uses less digits than its factorization.

72400907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 72400907 is about 8508.8722519497. The cubic root of 72400907 is about 416.7874841819.

The spelling of 72400907 in words is "seventy-two million, four hundred thousand, nine hundred seven".