73457072 has 60 divisors (see below), whose sum is σ = 157739904. Its totient is φ = 32941440.

The previous prime is 73457063. The next prime is 73457077. The reversal of 73457072 is 27075437.

It is not an unprimeable number, because it can be changed into a prime (73457077) 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, 384497 + ... + 384687.

Almost surely, 2^73457072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73457072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78869952).

73457072 is an abundant number, since it is smaller than the sum of its proper divisors (84282832).

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

73457072 is a wasteful number, since it uses less digits than its factorization.

73457072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 73457072 is about 8570.7101222711. The cubic root of 73457072 is about 418.8043698024.

The spelling of 73457072 in words is "seventy-three million, four hundred fifty-seven thousand, seventy-two".