72900282 has 128 divisors (see below), whose sum is σ = 190955520. Its totient is φ = 18040320.

The previous prime is 72900259. The next prime is 72900299. The reversal of 72900282 is 28200927.

It is a super-2 number, since 2×72900282² = 10628902231359048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998598 + ... + 998670.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 2^72900282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72900282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477760).

72900282 is an abundant number, since it is smaller than the sum of its proper divisors (118055238).

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

72900282 is a wasteful number, since it uses less digits than its factorization.

72900282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72900282 is about 8538.1661965553. The cubic root of 72900282 is about 417.7435336780.

The spelling of 72900282 in words is "seventy-two million, nine hundred thousand, two hundred eighty-two".