37972480 has 160 divisors (see below), whose sum is σ = 112742784. Its totient is φ = 11943936.

The previous prime is 37972477. The next prime is 37972511. The reversal of 37972480 is 8427973.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232879 + ... + 233041.

Almost surely, 2^37972480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56371392).

37972480 is an abundant number, since it is smaller than the sum of its proper divisors (74770304).

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

37972480 is a wasteful number, since it uses less digits than its factorization.

37972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 37972480 is about 6162.1814319281. The cubic root of 37972480 is about 336.1163618139.

The spelling of 37972480 in words is "thirty-seven million, nine hundred seventy-two thousand, four hundred eighty".