72191880 has 96 divisors (see below), whose sum is σ = 236620800. Its totient is φ = 19087488.

The previous prime is 72191879. The next prime is 72191881. The reversal of 72191880 is 8819127.

It is an interprime number because it is at equal distance from previous prime (72191879) and next prime (72191881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72191881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44931 + ... + 46509.

It is an arithmetic number, because the mean of its divisors is an integer number (2464800).

Almost surely, 2^72191880 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 72191880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118310400).

72191880 is an abundant number, since it is smaller than the sum of its proper divisors (164428920).

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

72191880 is a wasteful number, since it uses less digits than its factorization.

72191880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 72191880 is about 8496.5804886437. The cubic root of 72191880 is about 416.3859983610.

The spelling of 72191880 in words is "seventy-two million, one hundred ninety-one thousand, eight hundred eighty".