72952000 has 112 divisors (see below), whose sum is σ = 197327520. Its totient is φ = 26496000.

The previous prime is 72951971. The next prime is 72952013. The reversal of 72952000 is 25927.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 87586 + ... + 88414.

Almost surely, 2^72952000 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 72952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98663760).

72952000 is an abundant number, since it is smaller than the sum of its proper divisors (124375520).

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

72952000 is a wasteful number, since it uses less digits than its factorization.

72952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 72952000 is about 8541.1942958816. The cubic root of 72952000 is about 417.8422975987.

Adding to 72952000 its reverse (25927), we get a palindrome (72977927).

The spelling of 72952000 in words is "seventy-two million, nine hundred fifty-two thousand".