45872760 has 64 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 12176000.

The previous prime is 45872747. The next prime is 45872767. The reversal of 45872760 is 6727854.

It is a super-2 number, since 2×45872760² = 4208620220035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45872767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29359 + ... + 30881.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2^45872760 is an apocalyptic number.

45872760 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 45872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

45872760 is an abundant number, since it is smaller than the sum of its proper divisors (92384520).

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

45872760 is a wasteful number, since it uses less digits than its factorization.

45872760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 45872760 is about 6772.9432302360. The cubic root of 45872760 is about 357.9741146250.

The spelling of 45872760 in words is "forty-five million, eight hundred seventy-two thousand, seven hundred sixty".