972416736 has 72 divisors (see below), whose sum is σ = 2768855544. Its totient is φ = 323723520.

The previous prime is 972416681. The next prime is 972416741. The reversal of 972416736 is 637614279.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 972416691 and 972416700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292395 + ... + 295701.

It is an arithmetic number, because the mean of its divisors is an integer number (38456327).

Almost surely, 2^972416736 is an apocalyptic number.

972416736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

972416736 is an abundant number, since it is smaller than the sum of its proper divisors (1796438808).

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

972416736 is a wasteful number, since it uses less digits than its factorization.

972416736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4333 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 972416736 is about 31183.5972267473. The cubic root of 972416736 is about 990.7197215148.

The spelling of 972416736 in words is "nine hundred seventy-two million, four hundred sixteen thousand, seven hundred thirty-six".