972023136 has 96 divisors (see below), whose sum is σ = 2959729920. Its totient is φ = 273563136.

The previous prime is 972023119. The next prime is 972023141. The reversal of 972023136 is 631320279.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 972023097 and 972023106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34230 + ... + 55818.

It is an arithmetic number, because the mean of its divisors is an integer number (30830520).

Almost surely, 2^972023136 is an apocalyptic number.

972023136 is a gapful number since it is divisible by the number (96) 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 972023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479864960).

972023136 is an abundant number, since it is smaller than the sum of its proper divisors (1987706784).

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

972023136 is a wasteful number, since it uses less digits than its factorization.

972023136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21676 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 972023136 is about 31177.2855778049. The cubic root of 972023136 is about 990.5860340082.

The spelling of 972023136 in words is "nine hundred seventy-two million, twenty-three thousand, one hundred thirty-six".