73277820 has 288 divisors, whose sum is σ = 294368256. Its totient is φ = 14284800.

The previous prime is 73277807. The next prime is 73277821. The reversal of 73277820 is 2877237.

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 (73277821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 235465 + ... + 235775.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 2^73277820 is an apocalyptic number.

73277820 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 73277820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

73277820 is an abundant number, since it is smaller than the sum of its proper divisors (221090436).

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

73277820 is a wasteful number, since it uses less digits than its factorization.

73277820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 73277820 is about 8560.2464917781. The cubic root of 73277820 is about 418.4634329548.

The spelling of 73277820 in words is "seventy-three million, two hundred seventy-seven thousand, eight hundred twenty".