73677120 has 112 divisors (see below), whose sum is σ = 255227328. Its totient is φ = 17858560.

The previous prime is 73677113. The next prime is 73677127. The reversal of 73677120 is 2177637.

It is an interprime number because it is at equal distance from previous prime (73677113) and next prime (73677127).

It is a super-2 number, since 2×73677120² = 10856636022988800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73677127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7072 + ... + 14048.

Almost surely, 2^73677120 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 73677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127613664).

73677120 is an abundant number, since it is smaller than the sum of its proper divisors (181550208).

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

73677120 is a wasteful number, since it uses less digits than its factorization.

73677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 73677120 is about 8583.5377321941. The cubic root of 73677120 is about 419.2221430333. Note that the first 3 decimals are identical.

The spelling of 73677120 in words is "seventy-three million, six hundred seventy-seven thousand, one hundred twenty".