72982770 has 64 divisors (see below), whose sum is σ = 201194496. Its totient is φ = 16597440.

The previous prime is 72982769. The next prime is 72982783. The reversal of 72982770 is 7728927.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 46905 + ... + 48435.

It is an arithmetic number, because the mean of its divisors is an integer number (3143664).

Almost surely, 2^72982770 is an apocalyptic number.

72982770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72982770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100597248).

72982770 is an abundant number, since it is smaller than the sum of its proper divisors (128211726).

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

72982770 is a wasteful number, since it uses less digits than its factorization.

72982770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 72982770 is about 8542.9953763302. The cubic root of 72982770 is about 417.9010357657.

The spelling of 72982770 in words is "seventy-two million, nine hundred eighty-two thousand, seven hundred seventy".