73161900 has 288 divisors, whose sum is σ = 277760000. Its totient is φ = 16511040.

The previous prime is 73161859. The next prime is 73161901. The reversal of 73161900 is 916137.

It is a super-2 number, since 2×73161900² = 10705327223220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73161901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926061 + ... + 926139.

Almost surely, 2^73161900 is an apocalyptic number.

73161900 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 73161900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138880000).

73161900 is an abundant number, since it is smaller than the sum of its proper divisors (204598100).

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

73161900 is a wasteful number, since it uses less digits than its factorization.

73161900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 73161900 is about 8553.4729788548. The cubic root of 73161900 is about 418.2426572709.

It can be divided in two parts, 7316 and 1900, that added together give a square (9216 = 96²).

The spelling of 73161900 in words is "seventy-three million, one hundred sixty-one thousand, nine hundred".