73687020 has 96 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 17664000.

The previous prime is 73687001. The next prime is 73687021. The reversal of 73687020 is 2078637.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (73687021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63445 + ... + 64595.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2^73687020 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 73687020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

73687020 is an abundant number, since it is smaller than the sum of its proper divisors (153911316).

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

73687020 is a wasteful number, since it uses less digits than its factorization.

73687020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 73687020 is about 8584.1143981194. The cubic root of 73687020 is about 419.2409191623.

The spelling of 73687020 in words is "seventy-three million, six hundred eighty-seven thousand, twenty".