72728007 has 32 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 42561120.

The previous prime is 72727987. The next prime is 72728011. The reversal of 72728007 is 70082727.

It is a happy number.

It is not a de Polignac number, because 72728007 - 2²³ = 64339399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72728087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151594 + ... + 152072.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2^72728007 is an apocalyptic number.

72728007 is a deficient number, since it is larger than the sum of its proper divisors (36758073).

72728007 is a wasteful number, since it uses less digits than its factorization.

72728007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 72728007 is about 8528.0717046704. The cubic root of 72728007 is about 417.4142092479.

The spelling of 72728007 in words is "seventy-two million, seven hundred twenty-eight thousand, seven".