73506456 has 48 divisors (see below), whose sum is σ = 205508160. Its totient is φ = 23711040.

The previous prime is 73506451. The next prime is 73506491. The reversal of 73506456 is 65460537.

73506456 is a `hidden beast` number, since 7 + 3 + 5 + 0 + 645 + 6 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 73506456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73506451) 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, 14235 + ... + 18698.

It is an arithmetic number, because the mean of its divisors is an integer number (4281420).

Almost surely, 2^73506456 is an apocalyptic number.

It is an amenable number.

73506456 is an abundant number, since it is smaller than the sum of its proper divisors (132001704).

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

73506456 is a wasteful number, since it uses less digits than its factorization.

73506456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32976 (or 32969 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 73506456 is about 8573.5906130396. The cubic root of 73506456 is about 418.8982005772.

The spelling of 73506456 in words is "seventy-three million, five hundred six thousand, four hundred fifty-six".