72072342 has 48 divisors (see below), whose sum is σ = 165935952. Its totient is φ = 23431680.

The previous prime is 72072331. The next prime is 72072347. The reversal of 72072342 is 24327027.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72072347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18118 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (3456999).

Almost surely, 2^72072342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72072342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82967976).

72072342 is an abundant number, since it is smaller than the sum of its proper divisors (93863610).

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

72072342 is a wasteful number, since it uses less digits than its factorization.

72072342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72072342 is about 8489.5430972462. The cubic root of 72072342 is about 416.1560489202.

Adding to 72072342 its reverse (24327027), we get a palindrome (96399369).

The spelling of 72072342 in words is "seventy-two million, seventy-two thousand, three hundred forty-two".