72095520 has 192 divisors, whose sum is σ = 266112000. Its totient is φ = 16063488.

The previous prime is 72095503. The next prime is 72095579. The reversal of 72095520 is 2559027.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144231 + ... + 144729.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 2^72095520 is an apocalyptic number.

72095520 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 72095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

72095520 is an abundant number, since it is smaller than the sum of its proper divisors (194016480).

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

72095520 is a wasteful number, since it uses less digits than its factorization.

72095520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 72095520 is about 8490.9080786451. The cubic root of 72095520 is about 416.2006551720.

The spelling of 72095520 in words is "seventy-two million, ninety-five thousand, five hundred twenty".