42372480 has 128 divisors (see below), whose sum is σ = 139903200. Its totient is φ = 10895360.

The previous prime is 42372479. The next prime is 42372503. The reversal of 42372480 is 8427324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42372480² = 3590854122700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55300 + ... + 56060.

Almost surely, 2^42372480 is an apocalyptic number.

42372480 is a gapful number since it is divisible by the number (40) 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 42372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69951600).

42372480 is an abundant number, since it is smaller than the sum of its proper divisors (97530720).

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

42372480 is a wasteful number, since it uses less digits than its factorization.

42372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42372480 is about 6509.4147202341. The cubic root of 42372480 is about 348.6272213325.

The spelling of 42372480 in words is "forty-two million, three hundred seventy-two thousand, four hundred eighty".