72099072 has 216 divisors, whose sum is σ = 230644960. Its totient is φ = 22394880.

The previous prime is 72099067. The next prime is 72099101. The reversal of 72099072 is 27099027.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×72099072² = 10396552366522368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181922 + ... + 1181982.

Almost surely, 2^72099072 is an apocalyptic number.

72099072 is a gapful number since it is divisible by the number (72) 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 72099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322480).

72099072 is an abundant number, since it is smaller than the sum of its proper divisors (158545888).

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

72099072 is an equidigital number, since it uses as much as digits as its factorization.

72099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72099072 is about 8491.1172409760. The cubic root of 72099072 is about 416.2074901804.

The spelling of 72099072 in words is "seventy-two million, ninety-nine thousand, seventy-two".