72926000 has 80 divisors (see below), whose sum is σ = 201564480. Its totient is φ = 24998400.

The previous prime is 72925991. The next prime is 72926011. The reversal of 72926000 is 62927.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11396 + ... + 16604.

It is an arithmetic number, because the mean of its divisors is an integer number (2519556).

Almost surely, 2^72926000 is an apocalyptic number.

72926000 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 72926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782240).

72926000 is an abundant number, since it is smaller than the sum of its proper divisors (128638480).

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

72926000 is a wasteful number, since it uses less digits than its factorization.

72926000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 72926000 is about 8539.6721248535. The cubic root of 72926000 is about 417.7926522126.

Adding to 72926000 its reverse (62927), we get a palindrome (72988927).

The spelling of 72926000 in words is "seventy-two million, nine hundred twenty-six thousand".