58372400 has 30 divisors (see below), whose sum is σ = 140240652. Its totient is φ = 23348800.

The previous prime is 58372399. The next prime is 58372409. The reversal of 58372400 is 427385.

It is a happy number.

58372400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58372409) 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 5 ways as a sum of consecutive naturals, for example, 72566 + ... + 73365.

Almost surely, 2^58372400 is an apocalyptic number.

58372400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58372400 is an abundant number, since it is smaller than the sum of its proper divisors (81868252).

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

58372400 is a wasteful number, since it uses less digits than its factorization.

58372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145949 (or 145938 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 58372400 is about 7640.1832438758. The cubic root of 58372400 is about 387.9143538597.

Adding to 58372400 its reverse (427385), we get a palindrome (58799785).

The spelling of 58372400 in words is "fifty-eight million, three hundred seventy-two thousand, four hundred".