73577472 has 88 divisors (see below), whose sum is σ = 201031776. Its totient is φ = 23912448.

The previous prime is 73577461. The next prime is 73577473. The reversal of 73577472 is 27477537.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73577473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131818 + ... + 132374.

It is an arithmetic number, because the mean of its divisors is an integer number (2284452).

Almost surely, 2^73577472 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 73577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100515888).

73577472 is an abundant number, since it is smaller than the sum of its proper divisors (127454304).

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

73577472 is a wasteful number, since it uses less digits than its factorization.

73577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its digits is 288120, while the sum is 42.

The square root of 73577472 is about 8577.7311685550. The cubic root of 73577472 is about 419.0330590245.

The spelling of 73577472 in words is "seventy-three million, five hundred seventy-seven thousand, four hundred seventy-two".