73191690 has 192 divisors, whose sum is σ = 230211072. Its totient is φ = 16030080.

The previous prime is 73191653. The next prime is 73191691. The reversal of 73191690 is 9619137.

It is a super-2 number, since 2×73191690² = 10714046970112200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73191691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557247 + ... + 1557293.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2^73191690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73191690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

73191690 is an abundant number, since it is smaller than the sum of its proper divisors (157019382).

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

73191690 is a wasteful number, since it uses less digits than its factorization.

73191690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 73191690 is about 8555.2141995394. The cubic root of 73191690 is about 418.2994161306.

It can be divided in two parts, 7319 and 1690, that added together give a palindrome (9009).

The spelling of 73191690 in words is "seventy-three million, one hundred ninety-one thousand, six hundred ninety".