3772500 has 60 divisors (see below), whose sum is σ = 11021472. Its totient is φ = 1004000.

The previous prime is 3772493. The next prime is 3772537. The reversal of 3772500 is 52773.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7249 + ... + 7751.

Almost surely, 2^3772500 is an apocalyptic number.

3772500 is a gapful number since it is divisible by the number (30) 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 3772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510736).

3772500 is an abundant number, since it is smaller than the sum of its proper divisors (7248972).

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

3772500 is a wasteful number, since it uses less digits than its factorization.

3772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 3772500 is about 1942.2924599555. The cubic root of 3772500 is about 155.6717291650.

The spelling of 3772500 in words is "three million, seven hundred seventy-two thousand, five hundred".