72292080 has 160 divisors (see below), whose sum is σ = 263268864. Its totient is φ = 16063488.

The previous prime is 72292057. The next prime is 72292081. The reversal of 72292080 is 8029227.

It is a super-2 number, since 2×72292080² = 10452289661452800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72292081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61579 + ... + 62741.

Almost surely, 2^72292080 is an apocalyptic number.

72292080 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 72292080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131634432).

72292080 is an abundant number, since it is smaller than the sum of its proper divisors (190976784).

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

72292080 is a wasteful number, since it uses less digits than its factorization.

72292080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72292080 is about 8502.4749338060. The cubic root of 72292080 is about 416.5785527453.

The spelling of 72292080 in words is "seventy-two million, two hundred ninety-two thousand, eighty".