72628003 has 16 divisors (see below), whose sum is σ = 86663104. Its totient is φ = 59564160.

The previous prime is 72627991. The next prime is 72628021. The reversal of 72628003 is 30082627.

It is a cyclic number.

It is not a de Polignac number, because 72628003 - 2²¹ = 70530851 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72628903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13501 + ... + 18097.

It is an arithmetic number, because the mean of its divisors is an integer number (5416444).

Almost surely, 2^72628003 is an apocalyptic number.

72628003 is a deficient number, since it is larger than the sum of its proper divisors (14035101).

72628003 is a wasteful number, since it uses less digits than its factorization.

72628003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72628003 is about 8522.2064631174. The cubic root of 72628003 is about 417.2228009228. Note that the first 3 decimals are identical.

The spelling of 72628003 in words is "seventy-two million, six hundred twenty-eight thousand, three".