45872080 has 80 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 17155584.

The previous prime is 45872063. The next prime is 45872081. The reversal of 45872080 is 8027854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45872081) 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, 156414 + ... + 156706.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^45872080 is an apocalyptic number.

45872080 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 45872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

45872080 is an abundant number, since it is smaller than the sum of its proper divisors (67870640).

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

45872080 is a wasteful number, since it uses less digits than its factorization.

45872080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 45872080 is about 6772.8930303084. The cubic root of 45872080 is about 357.9723457931.

The spelling of 45872080 in words is "forty-five million, eight hundred seventy-two thousand, eighty".