73185672 has 64 divisors (see below), whose sum is σ = 209848320. Its totient is φ = 20835648.

The previous prime is 73185643. The next prime is 73185683. The reversal of 73185672 is 27658137.

It is a super-2 number, since 2×73185672² = 10712285172183168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73185672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61063 + ... + 62249.

It is an arithmetic number, because the mean of its divisors is an integer number (3278880).

Almost surely, 2^73185672 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 73185672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104924160).

73185672 is an abundant number, since it is smaller than the sum of its proper divisors (136662648).

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

73185672 is a wasteful number, since it uses less digits than its factorization.

73185672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1566 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 73185672 is about 8554.8624769776. The cubic root of 73185672 is about 418.2879512823.

It can be divided in two parts, 73 and 185672, that added together give a triangular number (185745 = T₆₀₉).

The spelling of 73185672 in words is "seventy-three million, one hundred eighty-five thousand, six hundred seventy-two".