96572736 has 140 divisors (see below), whose sum is σ = 308507892. Its totient is φ = 29693952.

The previous prime is 96572717. The next prime is 96572737. The reversal of 96572736 is 63727569.

96572736 is a `hidden beast` number, since 9 + 6 + 572 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 49787136 = 6840^2 + 7056^2 .

Its product of digits (476280) is a multiple of the sum of its prime factors (1470).

It is a junction number, because it is equal to n+sod(n) for n = 96572691 and 96572700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96572737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66676 + ... + 68108.

Almost surely, 2^96572736 is an apocalyptic number.

96572736 is a gapful number since it is divisible by the number (96) 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 96572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154253946).

96572736 is an abundant number, since it is smaller than the sum of its proper divisors (211935156).

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

96572736 is a wasteful number, since it uses less digits than its factorization.

96572736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1451 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 96572736 is about 9827.1428197620. The cubic root of 96572736 is about 458.7944741782.

The spelling of 96572736 in words is "ninety-six million, five hundred seventy-two thousand, seven hundred thirty-six".