72065412 has 36 divisors (see below), whose sum is σ = 182424060. Its totient is φ = 23987712.

The previous prime is 72065387. The next prime is 72065437. The reversal of 72065412 is 21456027.

72065412 is a `hidden beast` number, since 7 + 2 + 0 + 654 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72065387) and next prime (72065437).

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 40525956 = 5616^2 + 6366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45628 + ... + 47180.

It is an arithmetic number, because the mean of its divisors is an integer number (5067335).

Almost surely, 2^72065412 is an apocalyptic number.

It is an amenable number.

72065412 is an abundant number, since it is smaller than the sum of its proper divisors (110358648).

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

72065412 is a wasteful number, since it uses less digits than its factorization.

72065412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72065412 is about 8489.1349382608. The cubic root of 72065412 is about 416.1427102211.

The spelling of 72065412 in words is "seventy-two million, sixty-five thousand, four hundred twelve".