72028635 has 16 divisors (see below), whose sum is σ = 131709696. Its totient is φ = 32927328.

The previous prime is 72028633. The next prime is 72028637. The reversal of 72028635 is 53682027.

It is an interprime number because it is at equal distance from previous prime (72028633) and next prime (72028637).

It is not a de Polignac number, because 72028635 - 2¹ = 72028633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72028596 and 72028605.

It is not an unprimeable number, because it can be changed into a prime (72028633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342889 + ... + 343098.

It is an arithmetic number, because the mean of its divisors is an integer number (8231856).

Almost surely, 2^72028635 is an apocalyptic number.

72028635 is a deficient number, since it is larger than the sum of its proper divisors (59681061).

72028635 is a wasteful number, since it uses less digits than its factorization.

72028635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686002.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72028635 is about 8486.9685400619. The cubic root of 72028635 is about 416.0719084120.

The spelling of 72028635 in words is "seventy-two million, twenty-eight thousand, six hundred thirty-five".