72098370 has 64 divisors (see below), whose sum is σ = 195022080. Its totient is φ = 18950400.

The previous prime is 72098359. The next prime is 72098371. The reversal of 72098370 is 7389027.

It is not an unprimeable number, because it can be changed into a prime (72098371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17290 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (3047220).

Almost surely, 2^72098370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72098370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97511040).

72098370 is an abundant number, since it is smaller than the sum of its proper divisors (122923710).

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

72098370 is a wasteful number, since it uses less digits than its factorization.

72098370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72098370 is about 8491.0759035590. The cubic root of 72098370 is about 416.2061393603.

The spelling of 72098370 in words is "seventy-two million, ninety-eight thousand, three hundred seventy".