45872800 has 72 divisors (see below), whose sum is σ = 118609596. Its totient is φ = 17264640.

The previous prime is 45872797. The next prime is 45872803. The reversal of 45872800 is 827854.

It is an interprime number because it is at equal distance from previous prime (45872797) and next prime (45872803).

It can be written as a sum of positive squares in 6 ways, for example, as 37601424 + 8271376 = 6132^2 + 2876^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (45872803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11914 + ... + 15286.

Almost surely, 2^45872800 is an apocalyptic number.

45872800 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 45872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304798).

45872800 is an abundant number, since it is smaller than the sum of its proper divisors (72736796).

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

45872800 is a wasteful number, since it uses less digits than its factorization.

45872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3397 counting only the distinct ones).

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

The square root of 45872800 is about 6772.9461831614. The cubic root of 45872800 is about 357.9742186734.

The spelling of 45872800 in words is "forty-five million, eight hundred seventy-two thousand, eight hundred".