76501152 has 288 divisors, whose sum is σ = 281534400. Its totient is φ = 20030976.

The previous prime is 76501127. The next prime is 76501157. The reversal of 76501152 is 25110567.

76501152 is a `hidden beast` number, since 7 + 6 + 501 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (76501157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550299 + ... + 550437.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 2^76501152 is an apocalyptic number.

76501152 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 76501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

76501152 is an abundant number, since it is smaller than the sum of its proper divisors (205033248).

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

76501152 is a wasteful number, since it uses less digits than its factorization.

76501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 76501152 is about 8746.4936974767. The cubic root of 76501152 is about 424.5113682980.

The spelling of 76501152 in words is "seventy-six million, five hundred one thousand, one hundred fifty-two".