92742720 has 224 divisors, whose sum is σ = 346545408. Its totient is φ = 20570112.

The previous prime is 92742719. The next prime is 92742721. The reversal of 92742720 is 2724729.

It is an interprime number because it is at equal distance from previous prime (92742719) and next prime (92742721).

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

It is a super-2 number, since 2×92742720² = 17202424225996800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92742721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248454 + ... + 248826.

Almost surely, 2^92742720 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 92742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173272704).

92742720 is an abundant number, since it is smaller than the sum of its proper divisors (253802688).

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

92742720 is a wasteful number, since it uses less digits than its factorization.

92742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 92742720 is about 9630.3021759444. The cubic root of 92742720 is about 452.6473091608.

The spelling of 92742720 in words is "ninety-two million, seven hundred forty-two thousand, seven hundred twenty".