72198048 has 192 divisors, whose sum is σ = 224042112. Its totient is φ = 20152320.

The previous prime is 72198029. The next prime is 72198059. The reversal of 72198048 is 84089127.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72197997 and 72198015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869815 + ... + 869897.

It is an arithmetic number, because the mean of its divisors is an integer number (1166886).

Almost surely, 2^72198048 is an apocalyptic number.

72198048 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 72198048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112021056).

72198048 is an abundant number, since it is smaller than the sum of its proper divisors (151844064).

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

72198048 is a wasteful number, since it uses less digits than its factorization.

72198048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 72198048 is about 8496.9434504415. The cubic root of 72198048 is about 416.3978565538.

The spelling of 72198048 in words is "seventy-two million, one hundred ninety-eight thousand, forty-eight".