42765372 has 144 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 12063744.

The previous prime is 42765367. The next prime is 42765403. The reversal of 42765372 is 27356724.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312088 + ... + 312224.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 2^42765372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42765372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

42765372 is an abundant number, since it is smaller than the sum of its proper divisors (83819268).

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

42765372 is a wasteful number, since it uses less digits than its factorization.

42765372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42765372 is about 6539.5238358767. The cubic root of 42765372 is about 349.7014379056.

The spelling of 42765372 in words is "forty-two million, seven hundred sixty-five thousand, three hundred seventy-two".