72091740 has 192 divisors, whose sum is σ = 245145600. Its totient is φ = 15805440.

The previous prime is 72091739. The next prime is 72091741. The reversal of 72091740 is 4719027.

72091740 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (72091739) and next prime (72091741).

It is a Harshad number since it is a multiple of its sum of digits (30).

72091740 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 72091698 and 72091707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72091741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637924 + ... + 638036.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^72091740 is an apocalyptic number.

72091740 is a gapful number since it is divisible by the number (70) 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 72091740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

72091740 is an abundant number, since it is smaller than the sum of its proper divisors (173053860).

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

72091740 is a wasteful number, since it uses less digits than its factorization.

72091740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72091740 is about 8490.6854846944. The cubic root of 72091740 is about 416.1933811834.

The spelling of 72091740 in words is "seventy-two million, ninety-one thousand, seven hundred forty".