72161088 has 112 divisors (see below), whose sum is σ = 203850240. Its totient is φ = 22464000.

The previous prime is 72161083. The next prime is 72161093. The reversal of 72161088 is 88016127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72161083) and next prime (72161093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72161083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477813 + ... + 477963.

Almost surely, 2^72161088 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 72161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925120).

72161088 is an abundant number, since it is smaller than the sum of its proper divisors (131689152).

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

72161088 is a wasteful number, since it uses less digits than its factorization.

72161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 72161088 is about 8494.7682722956. The cubic root of 72161088 is about 416.3267895737.

The spelling of 72161088 in words is "seventy-two million, one hundred sixty-one thousand, eighty-eight".