76972506 has 64 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 22761216.

The previous prime is 76972487. The next prime is 76972531. The reversal of 76972506 is 60527967.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429925 + ... + 430103.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^76972506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76972506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

76972506 is an abundant number, since it is smaller than the sum of its proper divisors (95395494).

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

76972506 is a wasteful number, since it uses less digits than its factorization.

76972506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 76972506 is about 8773.3976314766. The cubic root of 76972506 is about 425.3814448568.

The spelling of 76972506 in words is "seventy-six million, nine hundred seventy-two thousand, five hundred six".