73185420 has 288 divisors, whose sum is σ = 272111616. Its totient is φ = 14515200.

The previous prime is 73185419. The next prime is 73185443. The reversal of 73185420 is 2458137.

It is a super-2 number, since 2×73185420² = 10712211401152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002504 + ... + 1002576.

It is an arithmetic number, because the mean of its divisors is an integer number (944832).

Almost surely, 2^73185420 is an apocalyptic number.

73185420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73185420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136055808).

73185420 is an abundant number, since it is smaller than the sum of its proper divisors (198926196).

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

73185420 is a wasteful number, since it uses less digits than its factorization.

73185420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 73185420 is about 8554.8477484991. The cubic root of 73185420 is about 418.2874711852.

The spelling of 73185420 in words is "seventy-three million, one hundred eighty-five thousand, four hundred twenty".