972733500 has 288 divisors, whose sum is σ = 3343441920. Its totient is φ = 237168000.

The previous prime is 972733483. The next prime is 972733529. The reversal of 972733500 is 5337279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2650317 + ... + 2650683.

Almost surely, 2^972733500 is an apocalyptic number.

972733500 is a gapful number since it is divisible by the number (90) 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 972733500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671720960).

972733500 is an abundant number, since it is smaller than the sum of its proper divisors (2370708420).

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

972733500 is a wasteful number, since it uses less digits than its factorization.

972733500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 972733500 is about 31188.6758295379. The cubic root of 972733500 is about 990.8272852305.

The spelling of 972733500 in words is "nine hundred seventy-two million, seven hundred thirty-three thousand, five hundred".