73890720 has 216 divisors, whose sum is σ = 266309316. Its totient is φ = 18653184.

The previous prime is 73890709. The next prime is 73890757. The reversal of 73890720 is 2709837.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 685584 = 8556^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761712 + ... + 761808.

Almost surely, 2^73890720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133154658).

73890720 is an abundant number, since it is smaller than the sum of its proper divisors (192418596).

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

73890720 is a wasteful number, since it uses less digits than its factorization.

73890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 73890720 is about 8595.9711493234. The cubic root of 73890720 is about 419.6268795089.

The spelling of 73890720 in words is "seventy-three million, eight hundred ninety thousand, seven hundred twenty".