68972736 has 224 divisors, whose sum is σ = 228559360. Its totient is φ = 17915904.

The previous prime is 68972719. The next prime is 68972741. The reversal of 68972736 is 63727986.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×68972736² = 9514476622651392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 944796 + ... + 944868.

Almost surely, 2^68972736 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 68972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114279680).

68972736 is an abundant number, since it is smaller than the sum of its proper divisors (159586624).

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

68972736 is a wasteful number, since it uses less digits than its factorization.

68972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 68972736 is about 8304.9826008246. The cubic root of 68972736 is about 410.1025640692.

The spelling of 68972736 in words is "sixty-eight million, nine hundred seventy-two thousand, seven hundred thirty-six".