73868760 has 160 divisors (see below), whose sum is σ = 283836960. Its totient is φ = 16879104.

The previous prime is 73868749. The next prime is 73868777. The reversal of 73868760 is 6786837.

73868760 = T₂₀₃₇ + T₂₀₃₈ + ... + T₂₀₇₁.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 21052 + ... + 24308.

It is an arithmetic number, because the mean of its divisors is an integer number (1773981).

Almost surely, 2^73868760 is an apocalyptic number.

73868760 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 73868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141918480).

73868760 is an abundant number, since it is smaller than the sum of its proper divisors (209968200).

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

73868760 is a wasteful number, since it uses less digits than its factorization.

73868760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 73868760 is about 8594.6937118201. The cubic root of 73868760 is about 419.5853049634.

The spelling of 73868760 in words is "seventy-three million, eight hundred sixty-eight thousand, seven hundred sixty".