72065628 has 36 divisors (see below), whose sum is σ = 182481208. Its totient is φ = 23980320.

The previous prime is 72065611. The next prime is 72065629. The reversal of 72065628 is 82656027.

72065628 is a `hidden beast` number, since 7 + 20 + 6 + 5 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72065592 and 72065601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25023 + ... + 27753.

Almost surely, 2^72065628 is an apocalyptic number.

It is an amenable number.

72065628 is an abundant number, since it is smaller than the sum of its proper divisors (110415580).

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

72065628 is a wasteful number, since it uses less digits than its factorization.

72065628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72065628 is about 8489.1476603956. The cubic root of 72065628 is about 416.1431259857.

The spelling of 72065628 in words is "seventy-two million, sixty-five thousand, six hundred twenty-eight".