58772280 has 256 divisors, whose sum is σ = 217128960. Its totient is φ = 12441600.

The previous prime is 58772279. The next prime is 58772297. The reversal of 58772280 is 8227785.

It is a super-3 number, since 3×58772280³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963450 + ... + 963510.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^58772280 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 58772280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

58772280 is an abundant number, since it is smaller than the sum of its proper divisors (158356680).

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

58772280 is a wasteful number, since it uses less digits than its factorization.

58772280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 58772280 is about 7666.3081075574. The cubic root of 58772280 is about 388.7981409418.

The spelling of 58772280 in words is "fifty-eight million, seven hundred seventy-two thousand, two hundred eighty".