36031072 has 72 divisors (see below), whose sum is σ = 90062280. Its totient is φ = 14031360.

The previous prime is 36031057. The next prime is 36031097. The reversal of 36031072 is 27013063.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16204 + ... + 18292.

It is an arithmetic number, because the mean of its divisors is an integer number (1250865).

Almost surely, 2^36031072 is an apocalyptic number.

36031072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36031072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45031140).

36031072 is an abundant number, since it is smaller than the sum of its proper divisors (54031208).

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

36031072 is a wasteful number, since it uses less digits than its factorization.

36031072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 36031072 is about 6002.5887748537. The cubic root of 36031072 is about 330.2876952413.

Subtracting from 36031072 its reverse (27013063), we obtain a square (9018009 = 3003²).

The spelling of 36031072 in words is "thirty-six million, thirty-one thousand, seventy-two".