72947952 has 400 divisors, whose sum is σ = 285196032. Its totient is φ = 17418240.

The previous prime is 72947947. The next prime is 72947989. The reversal of 72947952 is 25974927.

Its product of digits (317520) is a multiple of the sum of its prime factors (98).

It is a junction number, because it is equal to n+sod(n) for n = 72947898 and 72947907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1696443 + ... + 1696485.

Almost surely, 2^72947952 is an apocalyptic number.

72947952 is a gapful number since it is divisible by the number (72) 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 72947952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

72947952 is an abundant number, since it is smaller than the sum of its proper divisors (212248080).

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

72947952 is a wasteful number, since it uses less digits than its factorization.

72947952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 72947952 is about 8540.9573233918. The cubic root of 72947952 is about 417.8345689693.

The spelling of 72947952 in words is "seventy-two million, nine hundred forty-seven thousand, nine hundred fifty-two".