96046272 has 252 divisors, whose sum is σ = 332009496. Its totient is φ = 26449920.

The previous prime is 96046261. The next prime is 96046343. The reversal of 96046272 is 27264069.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1157143 + ... + 1157225.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^96046272 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 96046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004748).

96046272 is an abundant number, since it is smaller than the sum of its proper divisors (235963224).

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

96046272 is a wasteful number, since it uses less digits than its factorization.

96046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 96046272 is about 9800.3199947757. The cubic root of 96046272 is about 457.9592521734.

It can be divided in two parts, 9604 and 6272, that multiplied together give a cube (60236288 = 392³).

The spelling of 96046272 in words is "ninety-six million, forty-six thousand, two hundred seventy-two".