72746028 has 18 divisors (see below), whose sum is σ = 183885884. Its totient is φ = 24248664.

The previous prime is 72746027. The next prime is 72746029. The reversal of 72746028 is 82064727.

It is an interprime number because it is at equal distance from previous prime (72746027) and next prime (72746029).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2020723 = 72746028 / (7 + 2 + 7 + 4 + 6 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 72745983 and 72746001.

It is not an unprimeable number, because it can be changed into a prime (72746027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010326 + ... + 1010397.

Almost surely, 2^72746028 is an apocalyptic number.

It is an amenable number.

72746028 is an abundant number, since it is smaller than the sum of its proper divisors (111139856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72746028 is a wasteful number, since it uses less digits than its factorization.

72746028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020733 (or 2020728 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72746028 is about 8529.1282086741. The cubic root of 72746028 is about 417.4486829010.

The spelling of 72746028 in words is "seventy-two million, seven hundred forty-six thousand, twenty-eight".