73687320 has 336 divisors, whose sum is σ = 299831760. Its totient is φ = 15956352.

The previous prime is 73687307. The next prime is 73687321. The reversal of 73687320 is 2378637.

73687320 = 102³ + 103³ + ... + 141³.

It is a super-2 number, since 2×73687320² = 10859642257564800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73687321) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3878271 + ... + 3878289.

Almost surely, 2^73687320 is an apocalyptic number.

73687320 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 73687320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149915880).

73687320 is an abundant number, since it is smaller than the sum of its proper divisors (226144440).

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

73687320 is a wasteful number, since it uses less digits than its factorization.

73687320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73687320 is about 8584.1318722396. The cubic root of 73687320 is about 419.2414881097.

The spelling of 73687320 in words is "seventy-three million, six hundred eighty-seven thousand, three hundred twenty".