972736403076 has 135 divisors (see below), whose sum is σ = 2566579278879. Its totient is φ = 321257057472.

The previous prime is 972736403069. The next prime is 972736403101. The reversal of 972736403076 is 670304637279.

It is a happy number.

The square root of 972736403076 is 986274.

It is a perfect power (a square), and thus also a powerful number.

972736403076 is a `hidden beast` number, since 9 + 7 + 273 + 64 + 0 + 307 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887444100 + 971848958976 = 29790^2 + 985824^2 .

It is a super-2 number, since 2×972736403076² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2787210150 + ... + 2787210498.

Almost surely, 2^972736403076 is an apocalyptic number.

972736403076 is the 986274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972736403076

972736403076 is an abundant number, since it is smaller than the sum of its proper divisors (1593842875803).

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

972736403076 is an equidigital number, since it uses as much as digits as its factorization.

972736403076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 972736403076 in words is "nine hundred seventy-two billion, seven hundred thirty-six million, four hundred three thousand, seventy-six".