72442188 has 216 divisors, whose sum is σ = 239495760. Its totient is φ = 19105632.

The previous prime is 72442187. The next prime is 72442217. The reversal of 72442188 is 88124427.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (72442187) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5572470 + ... + 5572482.

Almost surely, 2^72442188 is an apocalyptic number.

72442188 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72442188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119747880).

72442188 is an abundant number, since it is smaller than the sum of its proper divisors (167053572).

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

72442188 is a wasteful number, since it uses less digits than its factorization.

72442188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72442188 is about 8511.2976683935. The cubic root of 72442188 is about 416.8666827070.

The spelling of 72442188 in words is "seventy-two million, four hundred forty-two thousand, one hundred eighty-eight".