73671780 has 192 divisors, whose sum is σ = 258306048. Its totient is φ = 15275520.

The previous prime is 73671769. The next prime is 73671781. The reversal of 73671780 is 8717637.

73671780 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (73671781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562315 + ... + 562445.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 2^73671780 is an apocalyptic number.

73671780 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 73671780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

73671780 is an abundant number, since it is smaller than the sum of its proper divisors (184634268).

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

73671780 is a wasteful number, since it uses less digits than its factorization.

73671780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 73671780 is about 8583.2266660039. The cubic root of 73671780 is about 419.2120146048.

The spelling of 73671780 in words is "seventy-three million, six hundred seventy-one thousand, seven hundred eighty".