42750720 has 144 divisors (see below), whose sum is σ = 151828320. Its totient is φ = 11390976.

The previous prime is 42750709. The next prime is 42750731. The reversal of 42750720 is 2705724.

It is an interprime number because it is at equal distance from previous prime (42750709) and next prime (42750731).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33942 + ... + 35178.

Almost surely, 2^42750720 is an apocalyptic number.

42750720 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 42750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75914160).

42750720 is an abundant number, since it is smaller than the sum of its proper divisors (109077600).

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

42750720 is a wasteful number, since it uses less digits than its factorization.

42750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42750720 is about 6538.4034748553. The cubic root of 42750720 is about 349.6614958489.

The spelling of 42750720 in words is "forty-two million, seven hundred fifty thousand, seven hundred twenty".