76500072 has 96 divisors (see below), whose sum is σ = 233654400. Its totient is φ = 23173920.

The previous prime is 76500059. The next prime is 76500079. The reversal of 76500072 is 27000567.

76500072 is a `hidden beast` number, since 7 + 650 + 0 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×76500072² = 11704522032010368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (76500079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24673 + ... + 27599.

It is an arithmetic number, because the mean of its divisors is an integer number (2433900).

Almost surely, 2^76500072 is an apocalyptic number.

76500072 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 76500072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116827200).

76500072 is an abundant number, since it is smaller than the sum of its proper divisors (157154328).

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

76500072 is a wasteful number, since it uses less digits than its factorization.

76500072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 76500072 is about 8746.4319582330. The cubic root of 76500072 is about 424.5093706181.

The spelling of 76500072 in words is "seventy-six million, five hundred thousand, seventy-two".