76372296 has 288 divisors, whose sum is σ = 274384320. Its totient is φ = 17233920.

The previous prime is 76372291. The next prime is 76372301. The reversal of 76372296 is 69227367.

76372296 = T₄₃ + T₄₄ + ... + T₇₇₀.

It is an interprime number because it is at equal distance from previous prime (76372291) and next prime (76372301).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76372291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4492480 + ... + 4492496.

Almost surely, 2^76372296 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 76372296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137192160).

76372296 is an abundant number, since it is smaller than the sum of its proper divisors (198012024).

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

76372296 is a wasteful number, since it uses less digits than its factorization.

76372296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 76372296 is about 8739.1244412698. The cubic root of 76372296 is about 424.2728900690.

Subtracting from 76372296 its reverse (69227367), we obtain a square (7144929 = 2673²).

The spelling of 76372296 in words is "seventy-six million, three hundred seventy-two thousand, two hundred ninety-six".