72828045 has 32 divisors (see below), whose sum is σ = 136291200. Its totient is φ = 36796032.

The previous prime is 72828043. The next prime is 72828047. The reversal of 72828045 is 54082827.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72828043) and next prime (72828047).

It is not a de Polignac number, because 72828045 - 2¹ = 72828043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72828043) 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, 11632 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (4259100).

Almost surely, 2^72828045 is an apocalyptic number.

It is an amenable number.

72828045 is a deficient number, since it is larger than the sum of its proper divisors (63463155).

72828045 is a wasteful number, since it uses less digits than its factorization.

72828045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28426 (or 28420 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 72828045 is about 8533.9349071809. The cubic root of 72828045 is about 417.6055071773.

The spelling of 72828045 in words is "seventy-two million, eight hundred twenty-eight thousand, forty-five".