972071040 has 128 divisors (see below), whose sum is σ = 3111163200. Its totient is φ = 258158592.

The previous prime is 972071003. The next prime is 972071053. The reversal of 972071040 is 40170279.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 972070989 and 972071007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 542466 + ... + 544254.

Almost surely, 2^972071040 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 972071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555581600).

972071040 is an abundant number, since it is smaller than the sum of its proper divisors (2139092160).

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

972071040 is a wasteful number, since it uses less digits than its factorization.

972071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 972071040 is about 31178.0538199548. The cubic root of 972071040 is about 990.6023066846.

The spelling of 972071040 in words is "nine hundred seventy-two million, seventy-one thousand, forty".