42073500 has 96 divisors (see below), whose sum is σ = 140055552. Its totient is φ = 9614400.

The previous prime is 42073489. The next prime is 42073501. The reversal of 42073500 is 537024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42073501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8497 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (1458912).

Almost surely, 2^42073500 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 42073500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70027776).

42073500 is an abundant number, since it is smaller than the sum of its proper divisors (97982052).

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

42073500 is a wasteful number, since it uses less digits than its factorization.

42073500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 42073500 is about 6486.4088677788. The cubic root of 42073500 is about 347.8053145430.

It can be divided in two parts, 420 and 73500, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 42073500 in words is "forty-two million, seventy-three thousand, five hundred".