76275072 has 96 divisors (see below), whose sum is σ = 222741480. Its totient is φ = 25049088.

The previous prime is 76275041. The next prime is 76275103. The reversal of 76275072 is 27057267.

It is an interprime number because it is at equal distance from previous prime (76275041) and next prime (76275103).

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83643 + ... + 84549.

Almost surely, 2^76275072 is an apocalyptic number.

76275072 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 76275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111370740).

76275072 is an abundant number, since it is smaller than the sum of its proper divisors (146466408).

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

76275072 is a wasteful number, since it uses less digits than its factorization.

76275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76275072 is about 8733.5600988371. The cubic root of 76275072 is about 424.0927766599.

The spelling of 76275072 in words is "seventy-six million, two hundred seventy-five thousand, seventy-two".