73698768 has 160 divisors (see below), whose sum is σ = 248734080. Its totient is φ = 20597760.

The previous prime is 73698767. The next prime is 73698769. The reversal of 73698768 is 86789637.

It is an interprime number because it is at equal distance from previous prime (73698767) and next prime (73698769).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73698761) 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 31 ways as a sum of consecutive naturals, for example, 61180 + ... + 62372.

It is an arithmetic number, because the mean of its divisors is an integer number (1554588).

Almost surely, 2^73698768 is an apocalyptic number.

73698768 is a gapful number since it is divisible by the number (78) 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 73698768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124367040).

73698768 is an abundant number, since it is smaller than the sum of its proper divisors (175035312).

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

73698768 is a wasteful number, since it uses less digits than its factorization.

73698768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 73698768 is about 8584.7986580933. The cubic root of 73698768 is about 419.2631979870.

The spelling of 73698768 in words is "seventy-three million, six hundred ninety-eight thousand, seven hundred sixty-eight".