58761072 has 80 divisors (see below), whose sum is σ = 177568000. Its totient is φ = 18553536.

The previous prime is 58761071. The next prime is 58761119. The reversal of 58761072 is 27016785.

58761072 is a `hidden beast` number, since 587 + 6 + 1 + 0 + 72 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58761071) 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, 4629 + ... + 11787.

It is an arithmetic number, because the mean of its divisors is an integer number (2219600).

Almost surely, 2^58761072 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 58761072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88784000).

58761072 is an abundant number, since it is smaller than the sum of its proper divisors (118806928).

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

58761072 is a wasteful number, since it uses less digits than its factorization.

58761072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 58761072 is about 7665.5770819945. The cubic root of 58761072 is about 388.7734244905.

The spelling of 58761072 in words is "fifty-eight million, seven hundred sixty-one thousand, seventy-two".