72563190 has 64 divisors (see below), whose sum is σ = 200019456. Its totient is φ = 16503552.

The previous prime is 72563189. The next prime is 72563203. The reversal of 72563190 is 9136527.

It is a super-2 number, since 2×72563190² = 10530833085952200, which contains 22 as substring.

It is a congruent number.

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, 48189 + ... + 49671.

It is an arithmetic number, because the mean of its divisors is an integer number (3125304).

Almost surely, 2^72563190 is an apocalyptic number.

72563190 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 72563190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100009728).

72563190 is an abundant number, since it is smaller than the sum of its proper divisors (127456266).

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

72563190 is a wasteful number, since it uses less digits than its factorization.

72563190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 72563190 is about 8518.4030193458. The cubic root of 72563190 is about 417.0986545505.

The spelling of 72563190 in words is "seventy-two million, five hundred sixty-three thousand, one hundred ninety".