42737436 has 48 divisors (see below), whose sum is σ = 126631680. Its totient is φ = 12210480.

The previous prime is 42737423. The next prime is 42737449. The reversal of 42737436 is 63473724.

42737436 = 686² + 687² + ... + 766².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42737423) and next prime (42737449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42737436.

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, 27510 + ... + 29021.

It is an arithmetic number, because the mean of its divisors is an integer number (2638160).

Almost surely, 2^42737436 is an apocalyptic number.

It is an amenable number.

42737436 is an abundant number, since it is smaller than the sum of its proper divisors (83894244).

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

42737436 is a wasteful number, since it uses less digits than its factorization.

42737436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56551 (or 56543 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 42737436 is about 6537.3875516142. The cubic root of 42737436 is about 349.6252751373.

The spelling of 42737436 in words is "forty-two million, seven hundred thirty-seven thousand, four hundred thirty-six".