72945198 has 80 divisors (see below), whose sum is σ = 175372560. Its totient is φ = 22674816.

The previous prime is 72945193. The next prime is 72945211. The reversal of 72945198 is 89154927.

It is a super-2 number, since 2×72945198² = 10642003822518408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72945193) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669168 + ... + 669276.

It is an arithmetic number, because the mean of its divisors is an integer number (2192157).

Almost surely, 2^72945198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72945198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87686280).

72945198 is an abundant number, since it is smaller than the sum of its proper divisors (102427362).

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

72945198 is an equidigital number, since it uses as much as digits as its factorization.

72945198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 72945198 is about 8540.7960987252. The cubic root of 72945198 is about 417.8293107413.

The spelling of 72945198 in words is "seventy-two million, nine hundred forty-five thousand, one hundred ninety-eight".