96772500 has 360 divisors, whose sum is σ = 368432064. Its totient is φ = 21120000.

The previous prime is 96772493. The next prime is 96772547. The reversal of 96772500 is 527769.

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4207489 + ... + 4207511.

Almost surely, 2^96772500 is an apocalyptic number.

96772500 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 96772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216032).

96772500 is an abundant number, since it is smaller than the sum of its proper divisors (271659564).

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

96772500 is a wasteful number, since it uses less digits than its factorization.

96772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 96772500 is about 9837.3014592418. The cubic root of 96772500 is about 459.1106003145.

The spelling of 96772500 in words is "ninety-six million, seven hundred seventy-two thousand, five hundred".