72071500 has 96 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 26496000.

The previous prime is 72071471. The next prime is 72071501. The reversal of 72071500 is 517027.

It is a super-2 number, since 2×72071500² = 10388602224500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72071501) 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, 518431 + ... + 518569.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^72071500 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 72071500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

72071500 is an abundant number, since it is smaller than the sum of its proper divisors (98542580).

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

72071500 is a wasteful number, since it uses less digits than its factorization.

72071500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 72071500 is about 8489.4935066822. The cubic root of 72071500 is about 416.1544283043.

Adding to 72071500 its reverse (517027), we get a palindrome (72588527).

The spelling of 72071500 in words is "seventy-two million, seventy-one thousand, five hundred".