72042390 has 96 divisors (see below), whose sum is σ = 215631936. Its totient is φ = 16346880.

The previous prime is 72042389. The next prime is 72042407. The reversal of 72042390 is 9324027.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108660 + ... + 109320.

It is an arithmetic number, because the mean of its divisors is an integer number (2246166).

Almost surely, 2^72042390 is an apocalyptic number.

72042390 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72042390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107815968).

72042390 is an abundant number, since it is smaller than the sum of its proper divisors (143589546).

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

72042390 is a wasteful number, since it uses less digits than its factorization.

72042390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72042390 is about 8487.7788613983. The cubic root of 72042390 is about 416.0983918832.

The spelling of 72042390 in words is "seventy-two million, forty-two thousand, three hundred ninety".