72098700 has 144 divisors (see below), whose sum is σ = 225235584. Its totient is φ = 17740800.

The previous prime is 72098671. The next prime is 72098701. The reversal of 72098700 is 789027.

It is not an unprimeable number, because it can be changed into a prime (72098701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341595 + ... + 341805.

It is an arithmetic number, because the mean of its divisors is an integer number (1564136).

Almost surely, 2^72098700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72098700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112617792).

72098700 is an abundant number, since it is smaller than the sum of its proper divisors (153136884).

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

72098700 is a wasteful number, since it uses less digits than its factorization.

72098700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 72098700 is about 8491.0953357032. The cubic root of 72098700 is about 416.2067743623.

The spelling of 72098700 in words is "seventy-two million, ninety-eight thousand, seven hundred".