1292272416 has 144 divisors (see below), whose sum is σ = 3759878304. Its totient is φ = 420913152.

The previous prime is 1292272351. The next prime is 1292272427. The reversal of 1292272416 is 6142722921.

1292272416 is a `hidden beast` number, since 12 + 9 + 227 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3723955 + ... + 3724301.

It is an arithmetic number, because the mean of its divisors is an integer number (26110266).

Almost surely, 2^1292272416 is an apocalyptic number.

1292272416 is a gapful number since it is divisible by the number (16) 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 1292272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879939152).

1292272416 is an abundant number, since it is smaller than the sum of its proper divisors (2467605888).

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

1292272416 is a wasteful number, since it uses less digits than its factorization.

1292272416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1292272416 is about 35948.1907194229. The cubic root of 1292272416 is about 1089.2260634082.

The spelling of 1292272416 in words is "one billion, two hundred ninety-two million, two hundred seventy-two thousand, four hundred sixteen".